{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:HZ2SNRCGNAHHAOS6Z2D6ALEXXA","short_pith_number":"pith:HZ2SNRCG","schema_version":"1.0","canonical_sha256":"3e7526c446680e703a5ece87e02c97b835b766830678110c4c483ac6dd2513c8","source":{"kind":"arxiv","id":"2607.02851","version":1},"attestation_state":"computed","paper":{"title":"Data-driven Kernel-based Predictive Control with Stability and Robustness Guarantees","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"eess.SY","authors_text":"Gang Wang, Lihua Xie, Wenjie Liu, Yifei Li","submitted_at":"2026-07-03T01:06:50Z","abstract_excerpt":"In this paper, we provide a theoretical analysis of the closed-loop properties of a data-driven kernel-based predictive control (DDKPC) scheme developed solely from input-output data. The proposed formulation integrates a robust data-driven predictive control framework with a multi-step predictor for nonlinear systems constructed via kernel-based methods. This predictor implicitly captures the system's nonlinear behavior using the representer theorem. For the nominal case with noise-free data, we prove that the DDKPC scheme guarantees recursive feasibility and closed-loop stability, provided t"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2607.02851","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2026-07-03T01:06:50Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"889ae87c24d7e6754b416416e822dc05b1ee993a3bc6cdf91d2ac8dbcceedd83","abstract_canon_sha256":"89a9554970b2f3a348510b10630c1158e6387d4654f7e25a11000aa5225cedeb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-07T00:16:20.709424Z","signature_b64":"yx2lAsaXL5Xe1fvmi3B3owuK+ab+tu6A5MD6YR5wdFdkOXur453uNJW1dVbOp6d8A922h1jI8ytD8qRiqohFCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e7526c446680e703a5ece87e02c97b835b766830678110c4c483ac6dd2513c8","last_reissued_at":"2026-07-07T00:16:20.708663Z","signature_status":"signed_v1","first_computed_at":"2026-07-07T00:16:20.708663Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Data-driven Kernel-based Predictive Control with Stability and Robustness Guarantees","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"eess.SY","authors_text":"Gang Wang, Lihua Xie, Wenjie Liu, Yifei Li","submitted_at":"2026-07-03T01:06:50Z","abstract_excerpt":"In this paper, we provide a theoretical analysis of the closed-loop properties of a data-driven kernel-based predictive control (DDKPC) scheme developed solely from input-output data. The proposed formulation integrates a robust data-driven predictive control framework with a multi-step predictor for nonlinear systems constructed via kernel-based methods. This predictor implicitly captures the system's nonlinear behavior using the representer theorem. For the nominal case with noise-free data, we prove that the DDKPC scheme guarantees recursive feasibility and closed-loop stability, provided t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.02851","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.02851/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2607.02851","created_at":"2026-07-07T00:16:20.708775+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.02851v1","created_at":"2026-07-07T00:16:20.708775+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.02851","created_at":"2026-07-07T00:16:20.708775+00:00"},{"alias_kind":"pith_short_12","alias_value":"HZ2SNRCGNAHH","created_at":"2026-07-07T00:16:20.708775+00:00"},{"alias_kind":"pith_short_16","alias_value":"HZ2SNRCGNAHHAOS6","created_at":"2026-07-07T00:16:20.708775+00:00"},{"alias_kind":"pith_short_8","alias_value":"HZ2SNRCG","created_at":"2026-07-07T00:16:20.708775+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HZ2SNRCGNAHHAOS6Z2D6ALEXXA","json":"https://pith.science/pith/HZ2SNRCGNAHHAOS6Z2D6ALEXXA.json","graph_json":"https://pith.science/api/pith-number/HZ2SNRCGNAHHAOS6Z2D6ALEXXA/graph.json","events_json":"https://pith.science/api/pith-number/HZ2SNRCGNAHHAOS6Z2D6ALEXXA/events.json","paper":"https://pith.science/paper/HZ2SNRCG"},"agent_actions":{"view_html":"https://pith.science/pith/HZ2SNRCGNAHHAOS6Z2D6ALEXXA","download_json":"https://pith.science/pith/HZ2SNRCGNAHHAOS6Z2D6ALEXXA.json","view_paper":"https://pith.science/paper/HZ2SNRCG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.02851&json=true","fetch_graph":"https://pith.science/api/pith-number/HZ2SNRCGNAHHAOS6Z2D6ALEXXA/graph.json","fetch_events":"https://pith.science/api/pith-number/HZ2SNRCGNAHHAOS6Z2D6ALEXXA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HZ2SNRCGNAHHAOS6Z2D6ALEXXA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HZ2SNRCGNAHHAOS6Z2D6ALEXXA/action/storage_attestation","attest_author":"https://pith.science/pith/HZ2SNRCGNAHHAOS6Z2D6ALEXXA/action/author_attestation","sign_citation":"https://pith.science/pith/HZ2SNRCGNAHHAOS6Z2D6ALEXXA/action/citation_signature","submit_replication":"https://pith.science/pith/HZ2SNRCGNAHHAOS6Z2D6ALEXXA/action/replication_record"}},"created_at":"2026-07-07T00:16:20.708775+00:00","updated_at":"2026-07-07T00:16:20.708775+00:00"}