{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:JAFDSX6AZT6UX3YXSRJS46QXTP","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6b4809d37a9fd85b8725316d400a5aa921d736d8b43f7025ad2eded6d841ae28","cross_cats_sorted":["cs.SY","eess.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-09-17T04:40:40Z","title_canon_sha256":"e270000521ac105d940115a5e7b371c13fbb78d4afad8d1e4b30415faefbd47b"},"schema_version":"1.0","source":{"id":"2409.10884","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.10884","created_at":"2026-07-05T09:07:58Z"},{"alias_kind":"arxiv_version","alias_value":"2409.10884v1","created_at":"2026-07-05T09:07:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.10884","created_at":"2026-07-05T09:07:58Z"},{"alias_kind":"pith_short_12","alias_value":"JAFDSX6AZT6U","created_at":"2026-07-05T09:07:58Z"},{"alias_kind":"pith_short_16","alias_value":"JAFDSX6AZT6UX3YX","created_at":"2026-07-05T09:07:58Z"},{"alias_kind":"pith_short_8","alias_value":"JAFDSX6A","created_at":"2026-07-05T09:07:58Z"}],"graph_snapshots":[{"event_id":"sha256:fb30c624369e3a63b11fcb424cd58d53160afa0255ba98008214c670b2830a61","target":"graph","created_at":"2026-07-05T09:07:58Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2409.10884/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper develops a direct data-driven inverse optimal control (3DIOC) algorithm for the linear time-invariant (LTI) system who conducts a linear quadratic (LQ) control, where the underlying objective function is learned directly from measured input-output trajectories without system identification. By introducing the Fundamental Lemma, we establish the input-output representation of the LTI system. We accordingly propose a model-free optimality necessary condition for the forward LQ problem to build a connection between the objective function and collected data, with which the inverse optim","authors_text":"Chendi Qu, Jianping He, Xiaoming Duan","cross_cats":["cs.SY","eess.SY"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-09-17T04:40:40Z","title":"3DIOC: Direct Data-Driven Inverse Optimal Control for LTI Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.10884","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:156d8f076b5c86c4c4592cb5f6e5e401e99b0087acf0628860f677a5ee4fcd9f","target":"record","created_at":"2026-07-05T09:07:58Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6b4809d37a9fd85b8725316d400a5aa921d736d8b43f7025ad2eded6d841ae28","cross_cats_sorted":["cs.SY","eess.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-09-17T04:40:40Z","title_canon_sha256":"e270000521ac105d940115a5e7b371c13fbb78d4afad8d1e4b30415faefbd47b"},"schema_version":"1.0","source":{"id":"2409.10884","kind":"arxiv","version":1}},"canonical_sha256":"480a395fc0ccfd4bef1794532e7a179be9827684b291a79434378469bbeac21a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"480a395fc0ccfd4bef1794532e7a179be9827684b291a79434378469bbeac21a","first_computed_at":"2026-07-05T09:07:58.463289Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:07:58.463289Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P8wNWPID2EMaEjRCGKunhomED8b1I071AJy7oOTmhPawNhW/ThPnO/d0oT97/qj+DQZ1J92dQxuOTpgnn2CZDA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:07:58.463872Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.10884","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:156d8f076b5c86c4c4592cb5f6e5e401e99b0087acf0628860f677a5ee4fcd9f","sha256:fb30c624369e3a63b11fcb424cd58d53160afa0255ba98008214c670b2830a61"],"state_sha256":"f28cfacf351cefde03fc3d907482775d52f1dba238b64a750f688c15ef30b46c"}