{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:RYZJCVNKMYUB5OTX7R5CJSO2B4","short_pith_number":"pith:RYZJCVNK","schema_version":"1.0","canonical_sha256":"8e329155aa66281eba77fc7a24c9da0f161cef7d4674c5b3cae724c7bdb5ff3b","source":{"kind":"arxiv","id":"2111.00098","version":2},"attestation_state":"computed","paper":{"title":"Output-Feedback System Level Synthesis via Dynamic Programming","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Lauren Conger, Shih-Hao Tseng","submitted_at":"2021-10-29T22:00:50Z","abstract_excerpt":"System Level Synthesis (SLS) allows us to construct internally stabilizing controllers for large-scale systems. However, solving large-scale SLS problems is computationally expensive and the state-of-the-art methods consider only state feedback; output feedback poses additional challenges because the constraints are no longer uniquely row or column separable.\n  We exploit the structure of the output-feedback SLS problem by vectorizing the multi-sided matrix multiplications in the SLS optimization constraints, which allows us to reformulate it as a discrete-time control problem and solve using "},"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":"2111.00098","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2021-10-29T22:00:50Z","cross_cats_sorted":[],"title_canon_sha256":"46f743b2ae4d83aef3a40d892397f95dbf6657afcf338a53851006219c8b5543","abstract_canon_sha256":"509216b854a1401d2399cee069efac81b1e445a2e0bb954bb5b3666063ded054"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:28:53.140605Z","signature_b64":"fzQ0xDRGJK6dSJIlM5gvOZ3oDx9brskUBThhOiMIQUjrgm9ONgbKPcjCj0EqYQyWdKYa1fu62zhqZmSQ6KXZCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e329155aa66281eba77fc7a24c9da0f161cef7d4674c5b3cae724c7bdb5ff3b","last_reissued_at":"2026-07-05T04:28:53.140045Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:28:53.140045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Output-Feedback System Level Synthesis via Dynamic Programming","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Lauren Conger, Shih-Hao Tseng","submitted_at":"2021-10-29T22:00:50Z","abstract_excerpt":"System Level Synthesis (SLS) allows us to construct internally stabilizing controllers for large-scale systems. However, solving large-scale SLS problems is computationally expensive and the state-of-the-art methods consider only state feedback; output feedback poses additional challenges because the constraints are no longer uniquely row or column separable.\n  We exploit the structure of the output-feedback SLS problem by vectorizing the multi-sided matrix multiplications in the SLS optimization constraints, which allows us to reformulate it as a discrete-time control problem and solve using "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.00098","kind":"arxiv","version":2},"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/2111.00098/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":"2111.00098","created_at":"2026-07-05T04:28:53.140103+00:00"},{"alias_kind":"arxiv_version","alias_value":"2111.00098v2","created_at":"2026-07-05T04:28:53.140103+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.00098","created_at":"2026-07-05T04:28:53.140103+00:00"},{"alias_kind":"pith_short_12","alias_value":"RYZJCVNKMYUB","created_at":"2026-07-05T04:28:53.140103+00:00"},{"alias_kind":"pith_short_16","alias_value":"RYZJCVNKMYUB5OTX","created_at":"2026-07-05T04:28:53.140103+00:00"},{"alias_kind":"pith_short_8","alias_value":"RYZJCVNK","created_at":"2026-07-05T04:28:53.140103+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/RYZJCVNKMYUB5OTX7R5CJSO2B4","json":"https://pith.science/pith/RYZJCVNKMYUB5OTX7R5CJSO2B4.json","graph_json":"https://pith.science/api/pith-number/RYZJCVNKMYUB5OTX7R5CJSO2B4/graph.json","events_json":"https://pith.science/api/pith-number/RYZJCVNKMYUB5OTX7R5CJSO2B4/events.json","paper":"https://pith.science/paper/RYZJCVNK"},"agent_actions":{"view_html":"https://pith.science/pith/RYZJCVNKMYUB5OTX7R5CJSO2B4","download_json":"https://pith.science/pith/RYZJCVNKMYUB5OTX7R5CJSO2B4.json","view_paper":"https://pith.science/paper/RYZJCVNK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2111.00098&json=true","fetch_graph":"https://pith.science/api/pith-number/RYZJCVNKMYUB5OTX7R5CJSO2B4/graph.json","fetch_events":"https://pith.science/api/pith-number/RYZJCVNKMYUB5OTX7R5CJSO2B4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RYZJCVNKMYUB5OTX7R5CJSO2B4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RYZJCVNKMYUB5OTX7R5CJSO2B4/action/storage_attestation","attest_author":"https://pith.science/pith/RYZJCVNKMYUB5OTX7R5CJSO2B4/action/author_attestation","sign_citation":"https://pith.science/pith/RYZJCVNKMYUB5OTX7R5CJSO2B4/action/citation_signature","submit_replication":"https://pith.science/pith/RYZJCVNKMYUB5OTX7R5CJSO2B4/action/replication_record"}},"created_at":"2026-07-05T04:28:53.140103+00:00","updated_at":"2026-07-05T04:28:53.140103+00:00"}