{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KJC5GCCVZVC7QWTFPCELFLVM7O","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":"0901be1c9603997da95a28f8a2b5cbca18aeca1fbfc4cbd5d473fe39567307f0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-04-07T06:26:28Z","title_canon_sha256":"ad8661f022fdea32ca08df712dc105f3f19b4b1bcc48469e81f274d1f328f5f3"},"schema_version":"1.0","source":{"id":"1404.1667","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.1667","created_at":"2026-05-18T02:54:45Z"},{"alias_kind":"arxiv_version","alias_value":"1404.1667v1","created_at":"2026-05-18T02:54:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.1667","created_at":"2026-05-18T02:54:45Z"},{"alias_kind":"pith_short_12","alias_value":"KJC5GCCVZVC7","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KJC5GCCVZVC7QWTF","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KJC5GCCV","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:62cc0fc729b2ba0a75acf0675b704c94270015f58451f48af7836b69943e7b51","target":"graph","created_at":"2026-05-18T02:54:45Z","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"},"paper":{"abstract_excerpt":"The purpose of this paper is to close the remaining gaps in the understanding of the role that the constrained generalized continuous algebraic Riccati equation plays in singular linear-quadratic (LQ) optimal control. Indeed, in spite of the vast literature on LQ problems, it is only in a recent paper that a sufficient condition for the existence of a non-impulsive optimal control has for the first time connected this equation with the singular LQ optimal control problem. In this paper, we establish four equivalent conditions providing a complete picture that connects the singular LQ problem w","authors_text":"Augusto Ferrante, Lorenzo Ntogramatzidis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-04-07T06:26:28Z","title":"Continuous-Time Singular Linear-Quadratic Control: Necessary and Sufficient Conditions for the Existence of Regular Solutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.1667","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:d38abdecb9e6a8fc506a3417c60dd7f9aebf4e95ca1dfac084d796cacc61ead5","target":"record","created_at":"2026-05-18T02:54:45Z","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":"0901be1c9603997da95a28f8a2b5cbca18aeca1fbfc4cbd5d473fe39567307f0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-04-07T06:26:28Z","title_canon_sha256":"ad8661f022fdea32ca08df712dc105f3f19b4b1bcc48469e81f274d1f328f5f3"},"schema_version":"1.0","source":{"id":"1404.1667","kind":"arxiv","version":1}},"canonical_sha256":"5245d30855cd45f85a657888b2aeacfba0a641f2d117355c7e8828fa6470e928","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5245d30855cd45f85a657888b2aeacfba0a641f2d117355c7e8828fa6470e928","first_computed_at":"2026-05-18T02:54:45.813223Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:45.813223Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gfq3Mfctxh3sgeOYMaOrsaJpc9GqScy6M+zfD7KmZrrtuSir+NAoQ9YMbuamWc5qNVbC56DMVW8AzmB+LmJxDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:45.813628Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.1667","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d38abdecb9e6a8fc506a3417c60dd7f9aebf4e95ca1dfac084d796cacc61ead5","sha256:62cc0fc729b2ba0a75acf0675b704c94270015f58451f48af7836b69943e7b51"],"state_sha256":"af57a3b780681ee76d95848c287107aa1fe5a44dd42dba400f9a65b4cf3592f2"}