{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:AGKQRIDIZNEY2MMRZRMUSCFR5J","short_pith_number":"pith:AGKQRIDI","schema_version":"1.0","canonical_sha256":"019508a068cb498d3191cc594908b1ea52f728066f4e604c444fa60537322268","source":{"kind":"arxiv","id":"2312.04733","version":1},"attestation_state":"computed","paper":{"title":"Neighboring Extremal Optimal Control Theory for Parameter-Dependent Closed-loop Laws","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.RO","cs.SY","eess.SY"],"primary_cat":"math.OC","authors_text":"Ayush Rai, Brian D. O. Anderson, Shaoshuai Mou","submitted_at":"2023-12-07T22:27:29Z","abstract_excerpt":"This study introduces an approach to obtain a neighboring extremal optimal control (NEOC) solution for a closed-loop optimal control problem, applicable to a wide array of nonlinear systems and not necessarily quadratic performance indices. The approach involves investigating the variation incurred in the functional form of a known closed-loop optimal control law due to small, known parameter variations in the system equations or the performance index. The NEOC solution can formally be obtained by solving a linear partial differential equation, akin to those encountered in the iterative soluti"},"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":"2312.04733","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2023-12-07T22:27:29Z","cross_cats_sorted":["cs.RO","cs.SY","eess.SY"],"title_canon_sha256":"dcff8f78eb18be203df3be4b6d8d144b42216e4ca986381b6f62ced471e406a6","abstract_canon_sha256":"ec18ebcbf8adf90e71a1837816d457ff384e521bb6768024ee3a421e906a35e1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:21:50.538304Z","signature_b64":"aBALjeJBJEAPpAAiI4WDRFlrSosSozaHxu7jDj60PbaaDlIZ4Njc0mzzcV25/p7sI1CMLMumjXFFtzFyXKjTBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"019508a068cb498d3191cc594908b1ea52f728066f4e604c444fa60537322268","last_reissued_at":"2026-07-05T07:21:50.537806Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:21:50.537806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Neighboring Extremal Optimal Control Theory for Parameter-Dependent Closed-loop Laws","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.RO","cs.SY","eess.SY"],"primary_cat":"math.OC","authors_text":"Ayush Rai, Brian D. O. Anderson, Shaoshuai Mou","submitted_at":"2023-12-07T22:27:29Z","abstract_excerpt":"This study introduces an approach to obtain a neighboring extremal optimal control (NEOC) solution for a closed-loop optimal control problem, applicable to a wide array of nonlinear systems and not necessarily quadratic performance indices. The approach involves investigating the variation incurred in the functional form of a known closed-loop optimal control law due to small, known parameter variations in the system equations or the performance index. The NEOC solution can formally be obtained by solving a linear partial differential equation, akin to those encountered in the iterative soluti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.04733","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/2312.04733/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":"2312.04733","created_at":"2026-07-05T07:21:50.537867+00:00"},{"alias_kind":"arxiv_version","alias_value":"2312.04733v1","created_at":"2026-07-05T07:21:50.537867+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.04733","created_at":"2026-07-05T07:21:50.537867+00:00"},{"alias_kind":"pith_short_12","alias_value":"AGKQRIDIZNEY","created_at":"2026-07-05T07:21:50.537867+00:00"},{"alias_kind":"pith_short_16","alias_value":"AGKQRIDIZNEY2MMR","created_at":"2026-07-05T07:21:50.537867+00:00"},{"alias_kind":"pith_short_8","alias_value":"AGKQRIDI","created_at":"2026-07-05T07:21:50.537867+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/AGKQRIDIZNEY2MMRZRMUSCFR5J","json":"https://pith.science/pith/AGKQRIDIZNEY2MMRZRMUSCFR5J.json","graph_json":"https://pith.science/api/pith-number/AGKQRIDIZNEY2MMRZRMUSCFR5J/graph.json","events_json":"https://pith.science/api/pith-number/AGKQRIDIZNEY2MMRZRMUSCFR5J/events.json","paper":"https://pith.science/paper/AGKQRIDI"},"agent_actions":{"view_html":"https://pith.science/pith/AGKQRIDIZNEY2MMRZRMUSCFR5J","download_json":"https://pith.science/pith/AGKQRIDIZNEY2MMRZRMUSCFR5J.json","view_paper":"https://pith.science/paper/AGKQRIDI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2312.04733&json=true","fetch_graph":"https://pith.science/api/pith-number/AGKQRIDIZNEY2MMRZRMUSCFR5J/graph.json","fetch_events":"https://pith.science/api/pith-number/AGKQRIDIZNEY2MMRZRMUSCFR5J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AGKQRIDIZNEY2MMRZRMUSCFR5J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AGKQRIDIZNEY2MMRZRMUSCFR5J/action/storage_attestation","attest_author":"https://pith.science/pith/AGKQRIDIZNEY2MMRZRMUSCFR5J/action/author_attestation","sign_citation":"https://pith.science/pith/AGKQRIDIZNEY2MMRZRMUSCFR5J/action/citation_signature","submit_replication":"https://pith.science/pith/AGKQRIDIZNEY2MMRZRMUSCFR5J/action/replication_record"}},"created_at":"2026-07-05T07:21:50.537867+00:00","updated_at":"2026-07-05T07:21:50.537867+00:00"}