{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:ZFJ3FREX3RPSW55AHQQRG2MOPX","short_pith_number":"pith:ZFJ3FREX","schema_version":"1.0","canonical_sha256":"c953b2c497dc5f2b77a03c2113698e7dcc38fef4949271147ceffbb9c49a2602","source":{"kind":"arxiv","id":"2010.11103","version":1},"attestation_state":"computed","paper":{"title":"Robust Cooperative Output Regulation for a Network of Parabolic PDE Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Joachim Deutscher","submitted_at":"2020-10-21T16:11:51Z","abstract_excerpt":"This paper considers the robust cooperative output regulation for a network of parabolic PDE systems. The solution of this problem is obtained by extending the cooperative internal model principle from finite to infinite dimensions. For a time-invariant digraph describing the communication topology, a two-step backstepping approach is presented to systematically design cooperative state feedback regulators. They allow to solve both the leader-follower and the leaderless output synchronization problem in the presence of disturbances and model uncertainty for a finite-dimensional leader. Solvabi"},"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":"2010.11103","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-10-21T16:11:51Z","cross_cats_sorted":[],"title_canon_sha256":"f99ba9763ccacb40ff54fd9e1be6005cb47b12d5a28a86e57dab418cea7d978d","abstract_canon_sha256":"44fcecccadebf9574da6c01cda55804ead9505f8b926bd08ada045f886b60d25"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:44:59.341943Z","signature_b64":"kQtexvAAgkvtbu2XzgAqbKvLNyOxdP6b1Qh7GGvirHgfRTyH/Ei8osREucJxQYqm0l6zE+ZPSlSzyK5FYwifCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c953b2c497dc5f2b77a03c2113698e7dcc38fef4949271147ceffbb9c49a2602","last_reissued_at":"2026-07-05T01:44:59.341419Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:44:59.341419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Robust Cooperative Output Regulation for a Network of Parabolic PDE Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Joachim Deutscher","submitted_at":"2020-10-21T16:11:51Z","abstract_excerpt":"This paper considers the robust cooperative output regulation for a network of parabolic PDE systems. The solution of this problem is obtained by extending the cooperative internal model principle from finite to infinite dimensions. For a time-invariant digraph describing the communication topology, a two-step backstepping approach is presented to systematically design cooperative state feedback regulators. They allow to solve both the leader-follower and the leaderless output synchronization problem in the presence of disturbances and model uncertainty for a finite-dimensional leader. Solvabi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.11103","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2010.11103/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2010.11103","created_at":"2026-07-05T01:44:59.341489+00:00"},{"alias_kind":"arxiv_version","alias_value":"2010.11103v1","created_at":"2026-07-05T01:44:59.341489+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.11103","created_at":"2026-07-05T01:44:59.341489+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZFJ3FREX3RPS","created_at":"2026-07-05T01:44:59.341489+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZFJ3FREX3RPSW55A","created_at":"2026-07-05T01:44:59.341489+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZFJ3FREX","created_at":"2026-07-05T01:44:59.341489+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/ZFJ3FREX3RPSW55AHQQRG2MOPX","json":"https://pith.science/pith/ZFJ3FREX3RPSW55AHQQRG2MOPX.json","graph_json":"https://pith.science/api/pith-number/ZFJ3FREX3RPSW55AHQQRG2MOPX/graph.json","events_json":"https://pith.science/api/pith-number/ZFJ3FREX3RPSW55AHQQRG2MOPX/events.json","paper":"https://pith.science/paper/ZFJ3FREX"},"agent_actions":{"view_html":"https://pith.science/pith/ZFJ3FREX3RPSW55AHQQRG2MOPX","download_json":"https://pith.science/pith/ZFJ3FREX3RPSW55AHQQRG2MOPX.json","view_paper":"https://pith.science/paper/ZFJ3FREX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2010.11103&json=true","fetch_graph":"https://pith.science/api/pith-number/ZFJ3FREX3RPSW55AHQQRG2MOPX/graph.json","fetch_events":"https://pith.science/api/pith-number/ZFJ3FREX3RPSW55AHQQRG2MOPX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZFJ3FREX3RPSW55AHQQRG2MOPX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZFJ3FREX3RPSW55AHQQRG2MOPX/action/storage_attestation","attest_author":"https://pith.science/pith/ZFJ3FREX3RPSW55AHQQRG2MOPX/action/author_attestation","sign_citation":"https://pith.science/pith/ZFJ3FREX3RPSW55AHQQRG2MOPX/action/citation_signature","submit_replication":"https://pith.science/pith/ZFJ3FREX3RPSW55AHQQRG2MOPX/action/replication_record"}},"created_at":"2026-07-05T01:44:59.341489+00:00","updated_at":"2026-07-05T01:44:59.341489+00:00"}