{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:UXSYWR6L5CY5D42GIDSYBEMVXK","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":"088c8d94f1febd1d95abd269e9bd9a4d10569d051ec5a3a291604d5b867b7f94","cross_cats_sorted":["cs.SY","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2020-06-12T23:23:50Z","title_canon_sha256":"88fe13a858c3ac441ca266653626e4958c831b5d39d1cef4af2580473c17a54a"},"schema_version":"1.0","source":{"id":"2006.09178","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.09178","created_at":"2026-07-05T01:10:47Z"},{"alias_kind":"arxiv_version","alias_value":"2006.09178v1","created_at":"2026-07-05T01:10:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.09178","created_at":"2026-07-05T01:10:47Z"},{"alias_kind":"pith_short_12","alias_value":"UXSYWR6L5CY5","created_at":"2026-07-05T01:10:47Z"},{"alias_kind":"pith_short_16","alias_value":"UXSYWR6L5CY5D42G","created_at":"2026-07-05T01:10:47Z"},{"alias_kind":"pith_short_8","alias_value":"UXSYWR6L","created_at":"2026-07-05T01:10:47Z"}],"graph_snapshots":[{"event_id":"sha256:9cf61489d18e223961421ecff219e82b3ac6e350e864809f08aafc42ddb39162","target":"graph","created_at":"2026-07-05T01:10:47Z","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/2006.09178/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the continuous-time Linear-Quadratic-Regulator (LQR) problem in terms of optimizing a real-valued matrix function over the set of feedback gains. The results developed are in parallel to those in Bu et al. [1] for discrete-time LTI systems. In this direction, we characterize several analytical properties (smoothness, coerciveness, quadratic growth) that are crucial in the analysis of gradient-based algorithms. We also point out similarities and distinctive features of the continuous time setup in comparison with its discrete time analogue. First, we examine three types of well-pose","authors_text":"Afshin Mesbahi, Jingjing Bu, Mehran Mesbahi","cross_cats":["cs.SY","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2020-06-12T23:23:50Z","title":"Policy Gradient-based Algorithms for Continuous-time Linear Quadratic Control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.09178","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:c8a6e4364e06feec370b6b1c88af0035ddd1246ba792ab7ff9cc52899b5ad455","target":"record","created_at":"2026-07-05T01:10:47Z","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":"088c8d94f1febd1d95abd269e9bd9a4d10569d051ec5a3a291604d5b867b7f94","cross_cats_sorted":["cs.SY","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2020-06-12T23:23:50Z","title_canon_sha256":"88fe13a858c3ac441ca266653626e4958c831b5d39d1cef4af2580473c17a54a"},"schema_version":"1.0","source":{"id":"2006.09178","kind":"arxiv","version":1}},"canonical_sha256":"a5e58b47cbe8b1d1f34640e5809195baaa22a9f81baf3e1dd277d5afb7ead23f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a5e58b47cbe8b1d1f34640e5809195baaa22a9f81baf3e1dd277d5afb7ead23f","first_computed_at":"2026-07-05T01:10:47.048149Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:10:47.048149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"euTksaZOeQaK0oTklNTe4Frc7RSppLYJvVrSWztcHKHIRhR4hbN/99Y7l28R2KRKTVNiWDyiou7K2yq6TnuJDg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:10:47.048556Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.09178","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8a6e4364e06feec370b6b1c88af0035ddd1246ba792ab7ff9cc52899b5ad455","sha256:9cf61489d18e223961421ecff219e82b3ac6e350e864809f08aafc42ddb39162"],"state_sha256":"7017ccd1a9ee50cd16e5915b2d5ca6d950549cfeba64df2171641189c8f00fb3"}