{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:2QZUIR4A526ZFGQCFCBXUQA4F4","short_pith_number":"pith:2QZUIR4A","schema_version":"1.0","canonical_sha256":"d433444780eebd929a0228837a401c2f0ed7c38d6ad220e334088e8464c4437f","source":{"kind":"arxiv","id":"1903.06368","version":1},"attestation_state":"computed","paper":{"title":"Robust Decidability of Sampled-Data Control of Nonlinear Systems with Temporal Logic Specifications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"Jun Liu","submitted_at":"2019-03-15T05:24:52Z","abstract_excerpt":"This paper explores the theoretical limits of using discrete abstractions for nonlinear control synthesis. More specifically, we consider the problem of deciding continuous-time control with temporal logic specifications. We prove that sampled-data control of nonlinear systems with temporal logic specifications is robustly decidable in the sense that, given a continuous-time nonlinear control system and a temporal logic formula, one can algorithmically decide whether there exists a robust sampled-data control strategy to realize this specification when the right-hand side of the system is slig"},"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":"1903.06368","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2019-03-15T05:24:52Z","cross_cats_sorted":[],"title_canon_sha256":"602db79913e6c99a70ed7b12b5aade454b348d021f0cc832bcc7b15fce1fc5dd","abstract_canon_sha256":"c98ea4c845660e8040e8bd41f45575c1c8adb4a1131d55afd216c5d27a00edca"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:10.975197Z","signature_b64":"+G35BxdI5HWtmfzQk5bi6A3Oa/SrH6IzA4kRQNJDgz6moBf683oUkDQMdJCRqxXJMuRpNDVhp78iI6RNvTGTDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d433444780eebd929a0228837a401c2f0ed7c38d6ad220e334088e8464c4437f","last_reissued_at":"2026-05-17T23:51:10.974619Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:10.974619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Robust Decidability of Sampled-Data Control of Nonlinear Systems with Temporal Logic Specifications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"Jun Liu","submitted_at":"2019-03-15T05:24:52Z","abstract_excerpt":"This paper explores the theoretical limits of using discrete abstractions for nonlinear control synthesis. More specifically, we consider the problem of deciding continuous-time control with temporal logic specifications. We prove that sampled-data control of nonlinear systems with temporal logic specifications is robustly decidable in the sense that, given a continuous-time nonlinear control system and a temporal logic formula, one can algorithmically decide whether there exists a robust sampled-data control strategy to realize this specification when the right-hand side of the system is slig"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.06368","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":""},"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":"1903.06368","created_at":"2026-05-17T23:51:10.974710+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.06368v1","created_at":"2026-05-17T23:51:10.974710+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.06368","created_at":"2026-05-17T23:51:10.974710+00:00"},{"alias_kind":"pith_short_12","alias_value":"2QZUIR4A526Z","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_16","alias_value":"2QZUIR4A526ZFGQC","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_8","alias_value":"2QZUIR4A","created_at":"2026-05-18T12:33:07.085635+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/2QZUIR4A526ZFGQCFCBXUQA4F4","json":"https://pith.science/pith/2QZUIR4A526ZFGQCFCBXUQA4F4.json","graph_json":"https://pith.science/api/pith-number/2QZUIR4A526ZFGQCFCBXUQA4F4/graph.json","events_json":"https://pith.science/api/pith-number/2QZUIR4A526ZFGQCFCBXUQA4F4/events.json","paper":"https://pith.science/paper/2QZUIR4A"},"agent_actions":{"view_html":"https://pith.science/pith/2QZUIR4A526ZFGQCFCBXUQA4F4","download_json":"https://pith.science/pith/2QZUIR4A526ZFGQCFCBXUQA4F4.json","view_paper":"https://pith.science/paper/2QZUIR4A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.06368&json=true","fetch_graph":"https://pith.science/api/pith-number/2QZUIR4A526ZFGQCFCBXUQA4F4/graph.json","fetch_events":"https://pith.science/api/pith-number/2QZUIR4A526ZFGQCFCBXUQA4F4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2QZUIR4A526ZFGQCFCBXUQA4F4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2QZUIR4A526ZFGQCFCBXUQA4F4/action/storage_attestation","attest_author":"https://pith.science/pith/2QZUIR4A526ZFGQCFCBXUQA4F4/action/author_attestation","sign_citation":"https://pith.science/pith/2QZUIR4A526ZFGQCFCBXUQA4F4/action/citation_signature","submit_replication":"https://pith.science/pith/2QZUIR4A526ZFGQCFCBXUQA4F4/action/replication_record"}},"created_at":"2026-05-17T23:51:10.974710+00:00","updated_at":"2026-05-17T23:51:10.974710+00:00"}