{"as_of":"2026-08-12T14:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6431cdf5ec27677564cceb63f82dfc3cdac36c8bd492eedeb7f184b9d04c7695","coverage":[{"denominator":39,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":39,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T16:47:46.745166Z","state":"measured"},{"denominator":41,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":41,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-21T10:13:12.814637Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-21T10:14:06.464674Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"cited_work":{"arxiv_id":"2507.12718","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.12718","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"fad934a7-6482-49d6-b6e3-35b6db558723","year":2025},"citing_paper":{"arxiv_id":"2604.04455","last_updated":"2026-05-19T19:45:40Z","snapshot_observed_at":"2026-07-06T22:53:24.585766Z","submitted_at":"2026-04-06T06:03:18Z","title":"Region of Attraction Estimation for Linear Quadratic Regulator, Linear and Robust Model Predictive Control on a Two-Wheeled Inverted Pendulum","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-10T20:21:56.506346Z"},"links":{"cited_paper":"/paper/2507.12718","citing_paper":"/paper/2604.04455"},"observation_digest":"sha256:d3b6d967a68e9c6453f9f56b56c53db9b224729b8aa59e2f99e74bfc748e143a","observation_id":"d47baf15-5e45-4081-b632-a781f76ec77a","resolution":{"observed_at":"2026-05-10T22:00:48.281903Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"cited_work":{"arxiv_id":"2507.12718","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.12718","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"fad934a7-6482-49d6-b6e3-35b6db558723","year":2025},"citing_paper":{"arxiv_id":"2604.04455","last_updated":"2026-05-19T19:45:40Z","snapshot_observed_at":"2026-07-06T22:53:24.585766Z","submitted_at":"2026-04-06T06:03:18Z","title":"Region of Attraction Estimation for Linear Quadratic Regulator, Linear and Robust Model Predictive Control on a Two-Wheeled Inverted Pendulum","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-21T10:13:12.814637Z"},"links":{"cited_paper":"/paper/2507.12718","citing_paper":"/paper/2604.04455"},"observation_digest":"sha256:a6ebbf4b9067d14bfc041fcd941959672140d214766f19465f42adf51682e7b4","observation_id":"ff48eed7-3c3f-4e2f-9195-96741bddff76","resolution":{"observed_at":"2026-05-21T10:14:06.466518Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2507.12718/citation-record","integrity":"/paper/2507.12718/integrity","json":"/paper/2507.12718/citation-record.json","paper":"/paper/2507.12718"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:53.122243Z","title":"Disturbance/unce rtainty es- timator based integral sliding-mode control,","venue":null,"work_id":"a5e04ea4-a96a-45ce-b6d2-ce77e9333b27","year":2018},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:43.448449Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:753ac38826b836cf3d885fd1aa34b3a51d073132c4fe6fd51e53437c332c9ebb","observation_id":"6d962748-9abc-47bb-82fe-b4818da1f16b","resolution":{"observed_at":"2026-08-06T16:47:53.240055Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:52.968821Z","title":"Disturbance/uncertainty estimator based robust c ontrol of non- minimum phase systems,","venue":null,"work_id":"9921962b-b983-401a-93a1-9992fcbb56b4","year":1941},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:43.532343Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:43f1d9a499557c749c873d5d661134347abaa2c755ce7c84526f03b56c199a52","observation_id":"0d600454-17cf-4804-89f9-add293efaef9","resolution":{"observed_at":"2026-08-06T16:47:53.036052Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:52.848439Z","title":"Robust autopilot design ba sed on a disturbance/uncertainty/coupling estimator,","venue":null,"work_id":"0ade3d5b-99d7-4a6c-93d7-567dcaf1df2f","year":2019},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:43.595462Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:2be167bea9864a253c421f5e067dde2b751bc6e09fc78f3b195355de8385fe02","observation_id":"ab22ba06-548e-41df-82d5-45fecda69923","resolution":{"observed_at":"2026-08-06T16:47:52.916071Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s12518-022-00472-w","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Assessment o f land use–land cover changes using GIS, remote sensing, and CA–Ma rkov model: a case study of Algiers, Algeria,","venue":"Applied Geomatics","work_id":"f2e880a5-c4a4-4a89-9fca-2a9355bb1e63","year":2022},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:43.679894Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:680426e959447af7941e0b7b78e68a4bfc276cab5ad74ea35fe51626b993d17d","observation_id":"052bf60c-398c-4f4f-ac14-bbc4cc723272","resolution":{"observed_at":"2026-08-06T16:47:48.290505Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:52.683249Z","title":"Coverage analysis of IRS-aide d millimeter- wave networks: A practical approach,","venue":null,"work_id":"4f8d0ffd-5131-4696-b637-53446f4737da","year":2024},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:43.765231Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:eda1b31c92aa03d130c0e6c945d0ed1f8ad554159f86fcb07c48e57952244ade","observation_id":"d3327fd3-b6e8-4984-8514-bb35670c1c16","resolution":{"observed_at":"2026-08-06T16:47:52.769792Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:52.495696Z","title":"Detection of multiple sma ll biased GPS spoofing attacks on autonomous vehicles using time serie s analy- sis,","venue":null,"work_id":"11a3450d-455a-4f55-b784-585af48091e8","year":2025},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:43.850916Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:abdf7245995cef37a7e6764a88d146456e9b08ed6cd26fc09976f7d3a58c41a2","observation_id":"74e59f60-2560-4e2f-a9eb-e32939a9b66f","resolution":{"observed_at":"2026-08-06T16:47:52.583954Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:52.312702Z","title":"GPS spoofing attack detection on auto nomous vehicles using modified DBSCAN with dynamic threshold,","venue":null,"work_id":"faa191ca-174c-48d9-9ca1-6cea89280895","year":2025},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:43.926220Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:15fece39e6d8029e58f164baf56c7dae6b8e5c8c6970c80465ab40cd80196e1f","observation_id":"aa6f5ad8-abef-48d4-9fd9-92a7b9efef38","resolution":{"observed_at":"2026-08-06T16:47:52.404027Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:52.100566Z","title":"Detection of multiple small biased GPS spoofing atta cks on autonomous vehicles,","venue":null,"work_id":"234103cc-bcaf-496f-94f3-045a3fa9fe3a","year":2025},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:43.993606Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:c0cace8d062848ff400f397f807dadaf1888177a446a5e7e6187536ed428efb0","observation_id":"4c86f2cf-921c-4bc3-9bc5-dfd9469cc75a","resolution":{"observed_at":"2026-08-06T16:47:52.186858Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:51.878655Z","title":"A data-driven approach for UA V -UGV integrati on,","venue":null,"work_id":"c5207047-f35e-41c0-9a5c-b57f5c4a6415","year":2025},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:44.086318Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:1a58ed48045e6840a98c3b629b11666ee23a6d46fd0c49463562c3643ea78f70","observation_id":"830f1870-35b3-4d5f-8538-ac1c424892a5","resolution":{"observed_at":"2026-08-06T16:47:51.964586Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:51.691819Z","title":"Evaluating trojan attack vuln erabilities in autonomous landing systems for urban air mobility,","venue":null,"work_id":"3e0f481c-3b14-4604-a986-69f91e405937","year":2025},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:44.145077Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:41a5d2b34fbcc266c3c6149cf3af365477714b43dcffbcf6d4a05fd7273cbf11","observation_id":"69b69414-6185-4959-ac48-63a99061f71f","resolution":{"observed_at":"2026-08-06T16:47:51.780993Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.30521/jes.1523575","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Performance of conventional and modified s olar photovoltaic array configuration under the combined effect of seasonal variation and partial shaded conditions,","venue":"Journal of Energy Systems","work_id":"a357d360-be10-419e-ba8d-86eadca8e060","year":2025},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:44.253897Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:b00c3dbdc2b464b3930fc19734ce3ac43ce8c0ee474c2b636bbde61710c00b84","observation_id":"a831c017-5043-4b16-a868-a16f4bd21ee2","resolution":{"observed_at":"2026-08-06T16:47:48.181045Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.30521/jes.1524221","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Qualitative and quantitative analysis of ultra -efficiency projects: Commonalities, differences, and lessons learne d,","venue":"Journal of Energy Systems","work_id":"11570efd-f712-43ce-b986-c44759ea6b2f","year":2025},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:44.428353Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:1c10dd553f45fed4d33c46bd6fb3b855c109c21bd4e34bd6e3277ebd4786d8a4","observation_id":"a3798b0e-995b-4a58-b9a9-b1bea2811d03","resolution":{"observed_at":"2026-08-06T16:47:47.946219Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.30521/jes.1523522","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Energy management technique of hybrid ene rgy storage system-based DC microgrid,","venue":"Journal of Energy Systems","work_id":"aac71c04-3909-4a28-8a67-b5d9935d47ac","year":2025},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:44.521335Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:07fbd9499e99b58ba60770255e733f8cbd201b8dfb5faa129131a3422db0ac14","observation_id":"def4cb4b-5936-4270-bdbc-53f5ec73cd09","resolution":{"observed_at":"2026-08-06T16:47:47.770688Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.30521/jes.1","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:48.004697Z","title":"Investigating ro oftop solar energy potential in coastal area with unmanned aerial vehicle tech nology,","venue":null,"work_id":"620ca819-16dd-4ccc-86d2-4e8d91b27835","year":2025},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:44.616934Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:8a1d128d85ebca3c5501586f52a516c6e87eb51556666b48af528dfce21eddd9","observation_id":"d110586f-e6ca-4fd6-ab21-2a9b7e0bb478","resolution":{"observed_at":"2026-08-06T16:47:48.066910Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.30521/jes.1518827","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Potential for a circula r economy for sustainable large-scale renewable energy systems,","venue":"Journal of Energy Systems","work_id":"6e4ea753-055a-47d6-9d41-53094ed6b00f","year":2025},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:44.730230Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:d9007e35a1dab51dd1da2197b5f5340592a56c3f54e507227707a982ceffa7c7","observation_id":"3ba98abc-9f22-423e-b300-b9600df5cc4a","resolution":{"observed_at":"2026-08-06T16:47:47.599608Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.09449","last_updated":"2025-01-16T10:24:25Z","snapshot_observed_at":"2026-08-10T19:59:11.076298Z","submitted_at":"2025-01-16T10:24:25Z","title":"AR-SFQ: Asynchronous Reset Library Using {\\alpha}-Cell Design","version":1},"cited_work":{"arxiv_id":"2501.09449","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.09449","snapshot_observed_at":"2026-08-06T16:47:48.371456Z","title":"AR-SFQ: Asynchronous Reset Library Using {\\alpha}-Cell Design","venue":"cond-mat.supr-con","work_id":"97c93d9f-1fdf-4b3c-bf25-c1ad7445250d","year":2025},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:44.829588Z"},"links":{"cited_paper":"/paper/2501.09449","citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:69326c3381a917d755603bc3845ddfcdcc414a90463908c88c4e433f3edb3f28","observation_id":"9d9ad5a2-20e6-42bc-b242-d79e24dc2c7c","resolution":{"observed_at":"2026-08-06T16:47:48.427043Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:51.501153Z","title":"LLMs can plan only if we tell th em,","venue":null,"work_id":"972fbd77-9d95-44b2-b785-733dc356f74a","year":2025},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:44.925794Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:ccb119c0fe38eb671df2d5203e4447446e467d283a3f37ba052b9b418167b323","observation_id":"e80ff3a1-b608-45b5-8549-959bed23965b","resolution":{"observed_at":"2026-08-06T16:47:51.597427Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:51.292016Z","title":"Skin-in-the-game: Decision making via multi-stakeholde r alignment in LLMs,","venue":null,"work_id":"cc713273-442b-45c1-85ee-ea0bec13c8f6","year":2024},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:45.018230Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:ecb3977f45c3195f90d053155bdb7fd619dcddd21a042b12c15e3cfa4e186713","observation_id":"a2a6f5ad-bc0f-4c40-9215-502940777d5b","resolution":{"observed_at":"2026-08-06T16:47:51.381137Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:51.015569Z","title":"Alg orithm of thoughts: enhancing exploration of ideas in large language models,","venue":null,"work_id":"9c63cd79-f45a-4708-869e-0f820f9553d5","year":2024},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:45.102105Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:379962b21542e2efc0b846b0d045428ad508130774798a7619a75279806f432e","observation_id":"aad7d6e7-a594-4720-a961-866017981c0f","resolution":{"observed_at":"2026-08-06T16:47:51.136797Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:50.813257Z","title":"Safe and balanced: A framework for constrained multi-objective reinforce- ment learning,","venue":null,"work_id":"98a9da2b-d8c9-4055-80fe-f1c590b9e679","year":2025},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:45.181126Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:5e8e4931daef447e63b9f17658b89f685cc716bb39cb6751c375fda6254c7c20","observation_id":"f219fc41-5330-44bb-8cda-7f3ce7de8def","resolution":{"observed_at":"2026-08-06T16:47:50.895987Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:50.629517Z","title":"Learning-to-learn to guide random search: Derivative-fr ee meta blackbox optimization on manifold,","venue":null,"work_id":"831bba9a-52c6-4d0d-8346-8b76abe5feb9","year":2023},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:45.250774Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:1e6898dd02be87817b04aaf448be981e1465ace81dea9eba282c55d19c03489b","observation_id":"ab65ac4a-2020-463a-b9ea-c4fc902f9154","resolution":{"observed_at":"2026-08-06T16:47:50.714352Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.16601","last_updated":"2024-05-26T15:28:42Z","snapshot_observed_at":"2026-08-10T02:25:16.584318Z","submitted_at":"2024-05-26T15:28:42Z","title":"A CMDP-within-online framework for Meta-Safe Reinforcement Learning","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.16601","snapshot_observed_at":"2026-08-06T16:47:45.346953Z","title":"A CMDP-within-online framework for meta-safe reinforcemen t learning,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:45.346953Z"},"links":{"cited_paper":"/paper/2405.16601","citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:fc397ad54a1153e5542fa6d8042d5dbd4a0780833e40e7f5c06a18480648439a","observation_id":"f9b3a422-a687-4f61-846c-179424078cf5","resolution":{"observed_at":"2026-08-06T16:47:45.346953Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1038/s41598-022-15777-4","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Magnetic field mappin g of inaccessible regions using physics-informed neural net works,","venue":"Scientific Reports","work_id":"49454fce-df2f-44fb-b480-fa62701984bb","year":2022},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:45.419371Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:777453af2f87f23d68a11ebaed1e0b65cb0d448520f6728849655bf83f9f690e","observation_id":"9830529c-a382-41dd-8002-e10c20117f4a","resolution":{"observed_at":"2026-08-06T16:47:47.462955Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:50.436086Z","title":"Advanced fault detection and diagnosis in spacecraft attitude contr ol systems: Cur- rent state and challenges,","venue":null,"work_id":"d9583d22-663d-4054-8897-92e883757093","year":2023},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:45.490647Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:9726c3c277b3be5e9b37008a048013a3122cf98b46b6963bc348e094bf0f54ae","observation_id":"81cd651c-ed61-48ba-a827-7366e70be12b","resolution":{"observed_at":"2026-08-06T16:47:50.518862Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:50.268582Z","title":"Satellite pose estimation using earth radiation modeled by artificial neural networks ,","venue":null,"work_id":"60088619-cab6-4d7d-930c-2c75d4c32bae","year":2022},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:45.609992Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:fd699d8b9cb8cf1950bb762ba15a1324b1c01a9413962a85304094386635e03c","observation_id":"70a732b1-84d2-4c86-90ad-7f6de783208f","resolution":{"observed_at":"2026-08-06T16:47:50.336303Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:50.060199Z","title":"On-line orbit and albedo estimation using a strong tracking algorithm via satellite surface temperature data,","venue":null,"work_id":"4196cecd-ca39-4f90-baab-2baf67718e05","year":2021},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:45.703890Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:e21409fcfb2f235f985fa455d0031fba43e00d8eaf290bbe1fa55162740e91da","observation_id":"56d2139d-b09f-46f1-9883-07d77fcacfb1","resolution":{"observed_at":"2026-08-06T16:47:50.164314Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:49.830977Z","title":"Autonomous temperature-based orbit estimation,","venue":null,"work_id":"f9e61e8e-ed94-4b9b-bd55-1b063cb4df6e","year":2019},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:45.803663Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:face2b2900d95f036c1a6f1c606ceb3bdc5f4632e38bfaad87d0a2dac4be6f26","observation_id":"0e155f66-c30b-4e1d-9bab-4a18e0d8aae8","resolution":{"observed_at":"2026-08-06T16:47:49.956874Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1177/0278364910369189","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Lqr-trees: Feedback motion planning via sums-of -squares verification,","venue":"The International Journal of Robotics Research","work_id":"73fe4419-7b9e-4c25-8e21-f004309c73e6","year":2010},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:45.887269Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:b9f5cf23c9d36438b5e560a1a920eef49aa81f6c2ae4726bae1b621e38e3806e","observation_id":"6bf186bb-5905-4584-b68e-0c98ceca4d7a","resolution":{"observed_at":"2026-08-06T16:47:47.320179Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:49.672740Z","title":"Lmi-based fault detection and isolation of nonlinear desc riptor sys- tems,","venue":null,"work_id":"b3c1e821-5475-483a-9759-cabb5b957849","year":2017},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:45.972093Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:ec16e9fc0a0d7d6dacd57e80701275aaeedcf8b038fde64a5c77f765974ad2bc","observation_id":"400df0c3-6b8c-4020-920f-ef61c7952b09","resolution":{"observed_at":"2026-08-06T16:47:49.759284Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:49.443750Z","title":"Bernal, A","venue":null,"work_id":"2ffbf852-c33e-483f-9984-5b0bf27f85f8","year":2022},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:46.084356Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:ac7fcfb1e6dbe70fd8ebbe5957a92ac65b1d3b09777af2db83d030f5d1af01d1","observation_id":"f8a7eddb-f124-4fcf-946e-607b41d12fc5","resolution":{"observed_at":"2026-08-06T16:47:49.571436Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:49.297143Z","title":"Max–min l yapunov functions for switched systems and related differential in clusions,","venue":null,"work_id":"5e4bb589-62f5-4475-813a-dc7446c7d8af","year":2020},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:46.146973Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:e37894f21f5bc6dc7a6a717f184b3993efb65bbeb834c44fb282169e6a5b1adf","observation_id":"61b6b98c-3212-4842-a86a-efef7e774a13","resolution":{"observed_at":"2026-08-06T16:47:49.350501Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:49.112503Z","title":"Khalil, Nonlinear Control, 1st ed","venue":null,"work_id":"c741db15-43b4-451c-9b35-45d9b0b98656","year":2015},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:46.223115Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:3f23da0f0d5c7d5a65f5786a2d88fc71fd71fdb533c8e806e53e7573e14cd9f9","observation_id":"c805a6c2-4cd7-4b01-bc55-170ace0123b2","resolution":{"observed_at":"2026-08-06T16:47:49.175282Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:48.978660Z","title":"Causality in dual facete d linearization of nonlinear dynamical systems,","venue":null,"work_id":"85f74d79-286a-4e61-b248-33769346ad48","year":2018},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:46.307989Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:61809c0ced8c4cde8f5df8f7b03a6e22ef4951f14ee8f86405fc35e328afca85","observation_id":"5b65377b-491e-4e48-8b16-72ed589520f1","resolution":{"observed_at":"2026-08-06T16:47:49.039320Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.ifacol.2020.12.1683","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"A robust method for dual faceted linearization,","venue":"IFAC-PapersOnLine","work_id":"e0460de2-708e-4759-8f1c-9a1ab953eda8","year":2020},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:46.366897Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:0d8f00c26cca84747c568baba993575426aee4479d73b37e3f6d71b2269eb69d","observation_id":"d41160ce-aa1c-43f5-bcf9-0609deec3284","resolution":{"observed_at":"2026-08-06T16:47:47.167719Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:48.872336Z","title":null,"venue":null,"work_id":"1759423c-009e-4d91-8eeb-ba0356b5ad9e","year":2004},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:46.437907Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:c01be225aea023741bfbdf853850383a2a448b5fe632388d1a796975448d10c3","observation_id":"191c9083-9dbf-4cd3-ae84-b586d44b53a6","resolution":{"observed_at":"2026-08-06T16:47:48.916087Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:48.717867Z","title":"Duan and H.-H","venue":null,"work_id":"5839b74f-82a4-4a92-a158-4f273d00b167","year":null},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:46.517447Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:8ad21f0e213e3901834637d046d238469c63d758a04dcf7b93ead29234c9daa4","observation_id":"7156bf5b-89ea-4f37-b9cb-9a071ac889b6","resolution":{"observed_at":"2026-08-06T16:47:48.795391Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:48.613580Z","title":"Fuzzy identification of system s and its applications to modeling and control,","venue":null,"work_id":"b24a79cb-77a3-4260-9514-a5df8f81f1cb","year":1985},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:46.662170Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:aafac8e02a2b197d03b7a82899c916fa189c239c172d1b8adb7e54dd9e26c468","observation_id":"ec17d3f6-3270-4d79-be3d-3c5878211965","resolution":{"observed_at":"2026-08-06T16:47:48.654872Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:48.503533Z","title":"Subspa ce-based takagi–sugeno modeling for improved lmi performance,","venue":null,"work_id":"5c899722-abd3-4cb0-9000-0228f7871219","year":2017},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:46.745166Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:3ee915ce4db3d0bd62da3d7b2604a8c155597e82eb30ee130b4a5788db69edc9","observation_id":"93384dc4-bc17-469d-b7be-90c42d9655d4","resolution":{"observed_at":"2026-08-06T16:47:48.554220Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1201/b","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:47:46.851891Z","title":"Available: http://dx.doi.org/10.1201/b 15060","venue":null,"work_id":"43c66f50-38ab-4172-b017-6f0ca037b0dc","year":null},"citing_paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions","version":1},"reference_index":2013,"source":"pdf_text","source_observed_at":"2026-08-06T16:47:46.599466Z"},"links":{"citing_paper":"/paper/2507.12718"},"observation_digest":"sha256:dda934438e2f08011e373ed6848381a767db6144e07301fe29f2b05c945847a5","observation_id":"c5926b9f-c83f-42e6-afd5-8a5c7f04fd62","resolution":{"observed_at":"2026-08-06T16:47:46.971772Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.12718","last_updated":"2025-07-17T01:51:39Z","latest_version":1,"primary_category":"math.DS","snapshot_observed_at":"2026-08-06T18:03:33.556695Z","submitted_at":"2025-07-17T01:51:39Z","title":"Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions"},"reference_resolution":{"displayed":39,"state_counts":{"malformed_identifier":2,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":9,"verified_fuzzy":26},"total_outbound_references":39},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 2 inbound Pith citation observations for arXiv:2507.12718."}