{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:WYSPWATHFKDLHS4TOGTYEKLNDD","short_pith_number":"pith:WYSPWATH","schema_version":"1.0","canonical_sha256":"b624fb02672a86b3cb9371a782296d18dbb8e96f401446ed766fbd7fe2a368cf","source":{"kind":"arxiv","id":"1703.00405","version":1},"attestation_state":"computed","paper":{"title":"Stability and performance analysis of linear positive systems with delays using input-output methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"math.OC","authors_text":"Corentin Briat","submitted_at":"2017-03-01T17:32:51Z","abstract_excerpt":"It is known that input-output approaches based on scaled small-gain theorems with constant $D$-scalings and integral linear constraints are non-conservative for the analysis of some classes of linear positive systems interconnected with uncertain linear operators. This dramatically contrasts with the case of general linear systems with delays where input-output approaches provide, in general, sufficient conditions only. Using these results we provide simple alternative proofs for many of the existing results on the stability of linear positive systems with discrete/distributed/neutral time-inv"},"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":"1703.00405","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-03-01T17:32:51Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"786f4dfd15493fe36ad8c83a911d3070afd8857a0da9d57f1f46f36509f7ba47","abstract_canon_sha256":"ff37db6949a303c56c8697c931685de50f3a1c533f3c5a34a721942e526c565e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:43.032246Z","signature_b64":"pcwZ4WYeAMtdmFEDI41/SPcfKSotIZjdlustlRSTkqTQkiHVcKg6CjCqC5SeYUmJpjg9FFff2toQ9jDUDvL6BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b624fb02672a86b3cb9371a782296d18dbb8e96f401446ed766fbd7fe2a368cf","last_reissued_at":"2026-05-18T00:49:43.031631Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:43.031631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stability and performance analysis of linear positive systems with delays using input-output methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"math.OC","authors_text":"Corentin Briat","submitted_at":"2017-03-01T17:32:51Z","abstract_excerpt":"It is known that input-output approaches based on scaled small-gain theorems with constant $D$-scalings and integral linear constraints are non-conservative for the analysis of some classes of linear positive systems interconnected with uncertain linear operators. This dramatically contrasts with the case of general linear systems with delays where input-output approaches provide, in general, sufficient conditions only. Using these results we provide simple alternative proofs for many of the existing results on the stability of linear positive systems with discrete/distributed/neutral time-inv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.00405","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":"1703.00405","created_at":"2026-05-18T00:49:43.031751+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.00405v1","created_at":"2026-05-18T00:49:43.031751+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.00405","created_at":"2026-05-18T00:49:43.031751+00:00"},{"alias_kind":"pith_short_12","alias_value":"WYSPWATHFKDL","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_16","alias_value":"WYSPWATHFKDLHS4T","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_8","alias_value":"WYSPWATH","created_at":"2026-05-18T12:31:53.515858+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/WYSPWATHFKDLHS4TOGTYEKLNDD","json":"https://pith.science/pith/WYSPWATHFKDLHS4TOGTYEKLNDD.json","graph_json":"https://pith.science/api/pith-number/WYSPWATHFKDLHS4TOGTYEKLNDD/graph.json","events_json":"https://pith.science/api/pith-number/WYSPWATHFKDLHS4TOGTYEKLNDD/events.json","paper":"https://pith.science/paper/WYSPWATH"},"agent_actions":{"view_html":"https://pith.science/pith/WYSPWATHFKDLHS4TOGTYEKLNDD","download_json":"https://pith.science/pith/WYSPWATHFKDLHS4TOGTYEKLNDD.json","view_paper":"https://pith.science/paper/WYSPWATH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.00405&json=true","fetch_graph":"https://pith.science/api/pith-number/WYSPWATHFKDLHS4TOGTYEKLNDD/graph.json","fetch_events":"https://pith.science/api/pith-number/WYSPWATHFKDLHS4TOGTYEKLNDD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WYSPWATHFKDLHS4TOGTYEKLNDD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WYSPWATHFKDLHS4TOGTYEKLNDD/action/storage_attestation","attest_author":"https://pith.science/pith/WYSPWATHFKDLHS4TOGTYEKLNDD/action/author_attestation","sign_citation":"https://pith.science/pith/WYSPWATHFKDLHS4TOGTYEKLNDD/action/citation_signature","submit_replication":"https://pith.science/pith/WYSPWATHFKDLHS4TOGTYEKLNDD/action/replication_record"}},"created_at":"2026-05-18T00:49:43.031751+00:00","updated_at":"2026-05-18T00:49:43.031751+00:00"}