{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:PNLV5MI2WO3BW2KR3A2AU53GJA","short_pith_number":"pith:PNLV5MI2","schema_version":"1.0","canonical_sha256":"7b575eb11ab3b61b6951d8340a776648318e6c663bc9c6fe682cc390c6d0d0fb","source":{"kind":"arxiv","id":"1202.6110","version":1},"attestation_state":"computed","paper":{"title":"An Optimal Control Approach to the Persistent Monitoring Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.SY","authors_text":"Christos. G. Cassandras, Xuchao Lin, Xu Chu Ding","submitted_at":"2012-02-28T03:51:05Z","abstract_excerpt":"We propose an optimal control framework for persistent monitoring problems where the objective is to control the movement of mobile nodes to minimize an uncertainty metric in a given mission space. For multi agent in a one-dimensional mission space, we show that the optimal solution is obtained in terms of a sequence of switching locations and waiting time on these switching points, thus reducing it to a parametric optimization problem. Using Infinitesimal Perturbation Analysis (IPA) we obtain a complete solution through a gradient-based algorithm. We also discuss a receding horizon controller"},"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":"1202.6110","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2012-02-28T03:51:05Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"884bb10ba53bd3c51c9495a00f82c1d76b674bb7579b226cfa05935c1add1a98","abstract_canon_sha256":"11cd7916603fc501fcd1aef8a7f433bbd3c91d630a9c31dce2d98440de6b9f46"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:01:23.556278Z","signature_b64":"DX3zAKexYglSCNQnBWE/D5VkFyU/Hq+L0B3fwggDpDdJFaAN3hP9ny4A+h5VhJSeazgVro5p8iVneyH0qWaMDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b575eb11ab3b61b6951d8340a776648318e6c663bc9c6fe682cc390c6d0d0fb","last_reissued_at":"2026-05-18T04:01:23.555773Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:01:23.555773Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An Optimal Control Approach to the Persistent Monitoring Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.SY","authors_text":"Christos. G. Cassandras, Xuchao Lin, Xu Chu Ding","submitted_at":"2012-02-28T03:51:05Z","abstract_excerpt":"We propose an optimal control framework for persistent monitoring problems where the objective is to control the movement of mobile nodes to minimize an uncertainty metric in a given mission space. For multi agent in a one-dimensional mission space, we show that the optimal solution is obtained in terms of a sequence of switching locations and waiting time on these switching points, thus reducing it to a parametric optimization problem. Using Infinitesimal Perturbation Analysis (IPA) we obtain a complete solution through a gradient-based algorithm. We also discuss a receding horizon controller"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.6110","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":"1202.6110","created_at":"2026-05-18T04:01:23.555833+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.6110v1","created_at":"2026-05-18T04:01:23.555833+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.6110","created_at":"2026-05-18T04:01:23.555833+00:00"},{"alias_kind":"pith_short_12","alias_value":"PNLV5MI2WO3B","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"PNLV5MI2WO3BW2KR","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"PNLV5MI2","created_at":"2026-05-18T12:27:18.751474+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/PNLV5MI2WO3BW2KR3A2AU53GJA","json":"https://pith.science/pith/PNLV5MI2WO3BW2KR3A2AU53GJA.json","graph_json":"https://pith.science/api/pith-number/PNLV5MI2WO3BW2KR3A2AU53GJA/graph.json","events_json":"https://pith.science/api/pith-number/PNLV5MI2WO3BW2KR3A2AU53GJA/events.json","paper":"https://pith.science/paper/PNLV5MI2"},"agent_actions":{"view_html":"https://pith.science/pith/PNLV5MI2WO3BW2KR3A2AU53GJA","download_json":"https://pith.science/pith/PNLV5MI2WO3BW2KR3A2AU53GJA.json","view_paper":"https://pith.science/paper/PNLV5MI2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.6110&json=true","fetch_graph":"https://pith.science/api/pith-number/PNLV5MI2WO3BW2KR3A2AU53GJA/graph.json","fetch_events":"https://pith.science/api/pith-number/PNLV5MI2WO3BW2KR3A2AU53GJA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PNLV5MI2WO3BW2KR3A2AU53GJA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PNLV5MI2WO3BW2KR3A2AU53GJA/action/storage_attestation","attest_author":"https://pith.science/pith/PNLV5MI2WO3BW2KR3A2AU53GJA/action/author_attestation","sign_citation":"https://pith.science/pith/PNLV5MI2WO3BW2KR3A2AU53GJA/action/citation_signature","submit_replication":"https://pith.science/pith/PNLV5MI2WO3BW2KR3A2AU53GJA/action/replication_record"}},"created_at":"2026-05-18T04:01:23.555833+00:00","updated_at":"2026-05-18T04:01:23.555833+00:00"}