{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ULVOAX5KWGR4BLP2YDBMOU3X3L","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":"7949a72fcb4a50d285dc3560b618b75f1687a7684cb0fa261f5fbaa30bdbb9f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-10-19T08:24:37Z","title_canon_sha256":"1decb82ad918eea31b31d573a00bcd76353a1589fae474f5c371780a8c3cee24"},"schema_version":"1.0","source":{"id":"1510.05380","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.05380","created_at":"2026-05-18T01:24:24Z"},{"alias_kind":"arxiv_version","alias_value":"1510.05380v2","created_at":"2026-05-18T01:24:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.05380","created_at":"2026-05-18T01:24:24Z"},{"alias_kind":"pith_short_12","alias_value":"ULVOAX5KWGR4","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"ULVOAX5KWGR4BLP2","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"ULVOAX5K","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:287fb7ddc475b9329534e1a3230ae0e482224981e75603fb05d6481bea5e4aad","target":"graph","created_at":"2026-05-18T01:24:24Z","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":"In this paper, we study the cooperative output regulation problem for the discrete linear time-delay multi-agent systems by distributed observer approach. In contrast with the same problem for continuous-time linear time-delay multi-agent systems, the problem has two new features. First, in the presence of time-delay, the regulator equations for discrete-time linear systems are different from those for continuous-time linear systems. Second, under the standard assumption on the connectivity of the communication graph, a distributed observer for any continuous-time linear leader system always e","authors_text":"Jie Huang, Yamin Yan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-10-19T08:24:37Z","title":"Cooperative Output Regulation of Discrete-Time Linear Time-Delay Multi-agent Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.05380","kind":"arxiv","version":2},"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:d569fe2575b8f9371e4c309f65f4e4de7d5124236728b6c4e9949e1ae4c870d0","target":"record","created_at":"2026-05-18T01:24:24Z","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":"7949a72fcb4a50d285dc3560b618b75f1687a7684cb0fa261f5fbaa30bdbb9f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-10-19T08:24:37Z","title_canon_sha256":"1decb82ad918eea31b31d573a00bcd76353a1589fae474f5c371780a8c3cee24"},"schema_version":"1.0","source":{"id":"1510.05380","kind":"arxiv","version":2}},"canonical_sha256":"a2eae05faab1a3c0adfac0c2c75377daf68f28fab5835dac1bdda174c1b3421b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2eae05faab1a3c0adfac0c2c75377daf68f28fab5835dac1bdda174c1b3421b","first_computed_at":"2026-05-18T01:24:24.187214Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:24.187214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vS5tM5Wc8QhCOpeOJ9fa9rNjk8N2z5kMhGSjdP/QB8ZVK9HI1yUzGSdEpwr5DTJuOH+GpxJwvIIypJ0ZnEauBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:24.188063Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.05380","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d569fe2575b8f9371e4c309f65f4e4de7d5124236728b6c4e9949e1ae4c870d0","sha256:287fb7ddc475b9329534e1a3230ae0e482224981e75603fb05d6481bea5e4aad"],"state_sha256":"0d9ec079140325c8b3a16bb4de41f4f77bd2dd065e765b80e590b969167d315e"}