{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:JEEE4YZAX3XS77ROUMTRRTO67R","short_pith_number":"pith:JEEE4YZA","schema_version":"1.0","canonical_sha256":"49084e6320beef2ffe2ea32718cddefc78c2c2b7fed5d853e700bf0a188b51ce","source":{"kind":"arxiv","id":"2105.14004","version":1},"attestation_state":"computed","paper":{"title":"Distributed adaptive stabilization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DC","cs.MA","cs.SY","math.OC","nlin.AO"],"primary_cat":"eess.SY","authors_text":"Anders Rantzer, Anders Robertsson, Zhiyong Sun, Zhongkui Li","submitted_at":"2021-05-28T17:28:29Z","abstract_excerpt":"In this paper we consider distributed adaptive stabilization for uncertain multivariable linear systems with a time-varying diagonal matrix gain. We show that uncertain multivariable linear systems are stabilizable by diagonal matrix high gains if the system matrix is an H-matrix with positive diagonal entries. Based on matrix measure and stability theory for diagonally dominant systems, we consider two classes of uncertain linear systems, and derive a threshold condition to ensure their exponential stability by a monotonically increasing diagonal gain matrix. When each individual gain functio"},"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":"2105.14004","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2021-05-28T17:28:29Z","cross_cats_sorted":["cs.DC","cs.MA","cs.SY","math.OC","nlin.AO"],"title_canon_sha256":"ce571d35e997f30358c9de8e6f4f48bab60d69aa5fcaa2d6c1ce4fc0c576f947","abstract_canon_sha256":"97cfc4e507f099a8a1fe282a9a85041dd252c902062056a90ed7aa88517f40f7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:44:13.397843Z","signature_b64":"t3hCGi8blLXLkxKsearpfqXj7s89hEmL2gUQeqd1OL64q1MdbgtzlhfKVWLxUIswP8meMgTjh08LChYly9IkBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"49084e6320beef2ffe2ea32718cddefc78c2c2b7fed5d853e700bf0a188b51ce","last_reissued_at":"2026-07-05T02:44:13.397455Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:44:13.397455Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Distributed adaptive stabilization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DC","cs.MA","cs.SY","math.OC","nlin.AO"],"primary_cat":"eess.SY","authors_text":"Anders Rantzer, Anders Robertsson, Zhiyong Sun, Zhongkui Li","submitted_at":"2021-05-28T17:28:29Z","abstract_excerpt":"In this paper we consider distributed adaptive stabilization for uncertain multivariable linear systems with a time-varying diagonal matrix gain. We show that uncertain multivariable linear systems are stabilizable by diagonal matrix high gains if the system matrix is an H-matrix with positive diagonal entries. Based on matrix measure and stability theory for diagonally dominant systems, we consider two classes of uncertain linear systems, and derive a threshold condition to ensure their exponential stability by a monotonically increasing diagonal gain matrix. When each individual gain functio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.14004","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/2105.14004/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":"2105.14004","created_at":"2026-07-05T02:44:13.397512+00:00"},{"alias_kind":"arxiv_version","alias_value":"2105.14004v1","created_at":"2026-07-05T02:44:13.397512+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.14004","created_at":"2026-07-05T02:44:13.397512+00:00"},{"alias_kind":"pith_short_12","alias_value":"JEEE4YZAX3XS","created_at":"2026-07-05T02:44:13.397512+00:00"},{"alias_kind":"pith_short_16","alias_value":"JEEE4YZAX3XS77RO","created_at":"2026-07-05T02:44:13.397512+00:00"},{"alias_kind":"pith_short_8","alias_value":"JEEE4YZA","created_at":"2026-07-05T02:44:13.397512+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/JEEE4YZAX3XS77ROUMTRRTO67R","json":"https://pith.science/pith/JEEE4YZAX3XS77ROUMTRRTO67R.json","graph_json":"https://pith.science/api/pith-number/JEEE4YZAX3XS77ROUMTRRTO67R/graph.json","events_json":"https://pith.science/api/pith-number/JEEE4YZAX3XS77ROUMTRRTO67R/events.json","paper":"https://pith.science/paper/JEEE4YZA"},"agent_actions":{"view_html":"https://pith.science/pith/JEEE4YZAX3XS77ROUMTRRTO67R","download_json":"https://pith.science/pith/JEEE4YZAX3XS77ROUMTRRTO67R.json","view_paper":"https://pith.science/paper/JEEE4YZA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2105.14004&json=true","fetch_graph":"https://pith.science/api/pith-number/JEEE4YZAX3XS77ROUMTRRTO67R/graph.json","fetch_events":"https://pith.science/api/pith-number/JEEE4YZAX3XS77ROUMTRRTO67R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JEEE4YZAX3XS77ROUMTRRTO67R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JEEE4YZAX3XS77ROUMTRRTO67R/action/storage_attestation","attest_author":"https://pith.science/pith/JEEE4YZAX3XS77ROUMTRRTO67R/action/author_attestation","sign_citation":"https://pith.science/pith/JEEE4YZAX3XS77ROUMTRRTO67R/action/citation_signature","submit_replication":"https://pith.science/pith/JEEE4YZAX3XS77ROUMTRRTO67R/action/replication_record"}},"created_at":"2026-07-05T02:44:13.397512+00:00","updated_at":"2026-07-05T02:44:13.397512+00:00"}