{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:DD3LUS2SMTWHQLMAZMUDHEC4DN","short_pith_number":"pith:DD3LUS2S","schema_version":"1.0","canonical_sha256":"18f6ba4b5264ec782d80cb2833905c1b702212f8e503c8697a60123901676581","source":{"kind":"arxiv","id":"1307.2350","version":1},"attestation_state":"computed","paper":{"title":"Stability Analysis of Continuous-Time Switched Systems with a Random Switching Signal","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"James Lam, Junlin Xiong, Xuerong Mao, Zhan Shu","submitted_at":"2013-07-09T07:06:51Z","abstract_excerpt":"This paper is concerned with the stability analysis of continuous-time switched systems with a random switching signal. The switching signal manifests its characteristics with that the dwell time in each subsystem consists of a fixed part and a random part. The stochastic stability of such switched systems is studied using a Lyapunov approach. A necessary and sufficient condition is established in terms of linear matrix inequalities. The effect of the random switching signal on system stability is illustrated by a numerical example and the results coincide with our intuition."},"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":"1307.2350","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2013-07-09T07:06:51Z","cross_cats_sorted":[],"title_canon_sha256":"8510d599d499eb031eea414c5e90891da4bafbef0482cdc790dde5c0edecca8a","abstract_canon_sha256":"24379a6c55d37f3636d61a115b15eab94b3ce8ea96bcb8368945c69c2f2dd58f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:56.317312Z","signature_b64":"dl1YlBfpCBE5uLtttyCXjljOFaBWKZk8FgmXwLIKJ9Ja0hsWl2Vboou/fjPAKNErEqPhiqlqeCRYaXeRmQHVDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"18f6ba4b5264ec782d80cb2833905c1b702212f8e503c8697a60123901676581","last_reissued_at":"2026-05-18T00:57:56.316850Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:56.316850Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stability Analysis of Continuous-Time Switched Systems with a Random Switching Signal","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"James Lam, Junlin Xiong, Xuerong Mao, Zhan Shu","submitted_at":"2013-07-09T07:06:51Z","abstract_excerpt":"This paper is concerned with the stability analysis of continuous-time switched systems with a random switching signal. The switching signal manifests its characteristics with that the dwell time in each subsystem consists of a fixed part and a random part. The stochastic stability of such switched systems is studied using a Lyapunov approach. A necessary and sufficient condition is established in terms of linear matrix inequalities. The effect of the random switching signal on system stability is illustrated by a numerical example and the results coincide with our intuition."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.2350","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":"1307.2350","created_at":"2026-05-18T00:57:56.316923+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.2350v1","created_at":"2026-05-18T00:57:56.316923+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.2350","created_at":"2026-05-18T00:57:56.316923+00:00"},{"alias_kind":"pith_short_12","alias_value":"DD3LUS2SMTWH","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_16","alias_value":"DD3LUS2SMTWHQLMA","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_8","alias_value":"DD3LUS2S","created_at":"2026-05-18T12:27:40.988391+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/DD3LUS2SMTWHQLMAZMUDHEC4DN","json":"https://pith.science/pith/DD3LUS2SMTWHQLMAZMUDHEC4DN.json","graph_json":"https://pith.science/api/pith-number/DD3LUS2SMTWHQLMAZMUDHEC4DN/graph.json","events_json":"https://pith.science/api/pith-number/DD3LUS2SMTWHQLMAZMUDHEC4DN/events.json","paper":"https://pith.science/paper/DD3LUS2S"},"agent_actions":{"view_html":"https://pith.science/pith/DD3LUS2SMTWHQLMAZMUDHEC4DN","download_json":"https://pith.science/pith/DD3LUS2SMTWHQLMAZMUDHEC4DN.json","view_paper":"https://pith.science/paper/DD3LUS2S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.2350&json=true","fetch_graph":"https://pith.science/api/pith-number/DD3LUS2SMTWHQLMAZMUDHEC4DN/graph.json","fetch_events":"https://pith.science/api/pith-number/DD3LUS2SMTWHQLMAZMUDHEC4DN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DD3LUS2SMTWHQLMAZMUDHEC4DN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DD3LUS2SMTWHQLMAZMUDHEC4DN/action/storage_attestation","attest_author":"https://pith.science/pith/DD3LUS2SMTWHQLMAZMUDHEC4DN/action/author_attestation","sign_citation":"https://pith.science/pith/DD3LUS2SMTWHQLMAZMUDHEC4DN/action/citation_signature","submit_replication":"https://pith.science/pith/DD3LUS2SMTWHQLMAZMUDHEC4DN/action/replication_record"}},"created_at":"2026-05-18T00:57:56.316923+00:00","updated_at":"2026-05-18T00:57:56.316923+00:00"}