{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:4APMSSCOB4SEFALVVAZUE5QVMX","short_pith_number":"pith:4APMSSCO","schema_version":"1.0","canonical_sha256":"e01ec9484e0f24428175a83342761565e1f0d2a1eba2281fdf6a234b1a533490","source":{"kind":"arxiv","id":"1202.0455","version":1},"attestation_state":"computed","paper":{"title":"Bounds and Invariant Sets for a Class of Switching Systems with Delayed-state-dependent Perturbations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.SY","authors_text":"Hernan Haimovich, Maria M. Seron","submitted_at":"2012-02-02T15:15:22Z","abstract_excerpt":"We present a novel method to compute componentwise transient bounds, ultimate bounds, and invariant regions for a class of switching continuous-time linear systems with perturbation bounds that may depend nonlinearly on a delayed state. The main advantage of the method is its componentwise nature, i.e. the fact that it allows each component of the perturbation vector to have an independent bound and that the bounds and sets obtained are also given componentwise. This componentwise method does not employ a norm for bounding either the perturbation or state vectors, avoids the need for scaling t"},"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":"1202.0455","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2012-02-02T15:15:22Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"6ed5a7e3eeb7ed3b34e34bfdbbbff8d6a614c0c9e3b2475cdf6d246b2856a231","abstract_canon_sha256":"42b3c52d622c0fea679a529c6b2714a35888255748a5deafade29e7b9543b707"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:03:18.162869Z","signature_b64":"tDPPrbLaia5lroVjXaHo5pbz/z8++mGOUI4EC255eeSaIMJQyt7UsUOD8OCTInPfmbilKu4ZLUjc71kT1EKVAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e01ec9484e0f24428175a83342761565e1f0d2a1eba2281fdf6a234b1a533490","last_reissued_at":"2026-05-18T04:03:18.162367Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:03:18.162367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bounds and Invariant Sets for a Class of Switching Systems with Delayed-state-dependent Perturbations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.SY","authors_text":"Hernan Haimovich, Maria M. Seron","submitted_at":"2012-02-02T15:15:22Z","abstract_excerpt":"We present a novel method to compute componentwise transient bounds, ultimate bounds, and invariant regions for a class of switching continuous-time linear systems with perturbation bounds that may depend nonlinearly on a delayed state. The main advantage of the method is its componentwise nature, i.e. the fact that it allows each component of the perturbation vector to have an independent bound and that the bounds and sets obtained are also given componentwise. This componentwise method does not employ a norm for bounding either the perturbation or state vectors, avoids the need for scaling t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.0455","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":"1202.0455","created_at":"2026-05-18T04:03:18.162444+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.0455v1","created_at":"2026-05-18T04:03:18.162444+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.0455","created_at":"2026-05-18T04:03:18.162444+00:00"},{"alias_kind":"pith_short_12","alias_value":"4APMSSCOB4SE","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"4APMSSCOB4SEFALV","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"4APMSSCO","created_at":"2026-05-18T12:26:53.410803+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/4APMSSCOB4SEFALVVAZUE5QVMX","json":"https://pith.science/pith/4APMSSCOB4SEFALVVAZUE5QVMX.json","graph_json":"https://pith.science/api/pith-number/4APMSSCOB4SEFALVVAZUE5QVMX/graph.json","events_json":"https://pith.science/api/pith-number/4APMSSCOB4SEFALVVAZUE5QVMX/events.json","paper":"https://pith.science/paper/4APMSSCO"},"agent_actions":{"view_html":"https://pith.science/pith/4APMSSCOB4SEFALVVAZUE5QVMX","download_json":"https://pith.science/pith/4APMSSCOB4SEFALVVAZUE5QVMX.json","view_paper":"https://pith.science/paper/4APMSSCO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.0455&json=true","fetch_graph":"https://pith.science/api/pith-number/4APMSSCOB4SEFALVVAZUE5QVMX/graph.json","fetch_events":"https://pith.science/api/pith-number/4APMSSCOB4SEFALVVAZUE5QVMX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4APMSSCOB4SEFALVVAZUE5QVMX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4APMSSCOB4SEFALVVAZUE5QVMX/action/storage_attestation","attest_author":"https://pith.science/pith/4APMSSCOB4SEFALVVAZUE5QVMX/action/author_attestation","sign_citation":"https://pith.science/pith/4APMSSCOB4SEFALVVAZUE5QVMX/action/citation_signature","submit_replication":"https://pith.science/pith/4APMSSCOB4SEFALVVAZUE5QVMX/action/replication_record"}},"created_at":"2026-05-18T04:03:18.162444+00:00","updated_at":"2026-05-18T04:03:18.162444+00:00"}