{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:VRH2HZJUMOJN62HZFZAP4A3EOW","short_pith_number":"pith:VRH2HZJU","schema_version":"1.0","canonical_sha256":"ac4fa3e5346392df68f92e40fe03647591dce69d3096333a235f42f1a743d970","source":{"kind":"arxiv","id":"1608.01590","version":2},"attestation_state":"computed","paper":{"title":"Compositional abstraction for networks of control systems: A dissipativity approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"math.OC","authors_text":"Majid Zamani, Murat Arcak","submitted_at":"2016-08-04T15:56:52Z","abstract_excerpt":"In this paper we propose a compositional scheme for the construction of abstractions for networks of control systems using the interconnection matrix and joint dissipativity-type properties of subsystems and their abstractions. In the proposed framework, the abstraction, itself a control system (possibly with a lower dimension), can be used as a substitution of the original system in the controller design process. Moreover, we provide a procedure for constructing abstractions of a class of nonlinear control systems by using the bounds on the slope of system nonlinearities. We illustrate the pr"},"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":"1608.01590","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-08-04T15:56:52Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"7d6859b7a5a388dc80645482b467edf37dd50c19141bce2299307f1653f0f8c8","abstract_canon_sha256":"cc9fbafd99b0e472d6b7025bdaa664417edda96d0ee35ec6d179dc9d31813279"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:50.704429Z","signature_b64":"NeV5xL2Aw0/dh9T1uxwBNylYrEDsJC7ONnnUp6X7r4QQnuuIfin8B1tiEL3hyEyM6Gse32TYV+CFFJBFTmfGDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac4fa3e5346392df68f92e40fe03647591dce69d3096333a235f42f1a743d970","last_reissued_at":"2026-05-18T00:53:50.704042Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:50.704042Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Compositional abstraction for networks of control systems: A dissipativity approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"math.OC","authors_text":"Majid Zamani, Murat Arcak","submitted_at":"2016-08-04T15:56:52Z","abstract_excerpt":"In this paper we propose a compositional scheme for the construction of abstractions for networks of control systems using the interconnection matrix and joint dissipativity-type properties of subsystems and their abstractions. In the proposed framework, the abstraction, itself a control system (possibly with a lower dimension), can be used as a substitution of the original system in the controller design process. Moreover, we provide a procedure for constructing abstractions of a class of nonlinear control systems by using the bounds on the slope of system nonlinearities. We illustrate the pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.01590","kind":"arxiv","version":2},"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":"1608.01590","created_at":"2026-05-18T00:53:50.704097+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.01590v2","created_at":"2026-05-18T00:53:50.704097+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.01590","created_at":"2026-05-18T00:53:50.704097+00:00"},{"alias_kind":"pith_short_12","alias_value":"VRH2HZJUMOJN","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_16","alias_value":"VRH2HZJUMOJN62HZ","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_8","alias_value":"VRH2HZJU","created_at":"2026-05-18T12:30:48.956258+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/VRH2HZJUMOJN62HZFZAP4A3EOW","json":"https://pith.science/pith/VRH2HZJUMOJN62HZFZAP4A3EOW.json","graph_json":"https://pith.science/api/pith-number/VRH2HZJUMOJN62HZFZAP4A3EOW/graph.json","events_json":"https://pith.science/api/pith-number/VRH2HZJUMOJN62HZFZAP4A3EOW/events.json","paper":"https://pith.science/paper/VRH2HZJU"},"agent_actions":{"view_html":"https://pith.science/pith/VRH2HZJUMOJN62HZFZAP4A3EOW","download_json":"https://pith.science/pith/VRH2HZJUMOJN62HZFZAP4A3EOW.json","view_paper":"https://pith.science/paper/VRH2HZJU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.01590&json=true","fetch_graph":"https://pith.science/api/pith-number/VRH2HZJUMOJN62HZFZAP4A3EOW/graph.json","fetch_events":"https://pith.science/api/pith-number/VRH2HZJUMOJN62HZFZAP4A3EOW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VRH2HZJUMOJN62HZFZAP4A3EOW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VRH2HZJUMOJN62HZFZAP4A3EOW/action/storage_attestation","attest_author":"https://pith.science/pith/VRH2HZJUMOJN62HZFZAP4A3EOW/action/author_attestation","sign_citation":"https://pith.science/pith/VRH2HZJUMOJN62HZFZAP4A3EOW/action/citation_signature","submit_replication":"https://pith.science/pith/VRH2HZJUMOJN62HZFZAP4A3EOW/action/replication_record"}},"created_at":"2026-05-18T00:53:50.704097+00:00","updated_at":"2026-05-18T00:53:50.704097+00:00"}