{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:4XBJ7MGDZT5T6RHUZCZKWJKSUJ","short_pith_number":"pith:4XBJ7MGD","schema_version":"1.0","canonical_sha256":"e5c29fb0c3ccfb3f44f4c8b2ab2552a255b353724ba834112bd0935c3762bd8e","source":{"kind":"arxiv","id":"1310.3595","version":1},"attestation_state":"computed","paper":{"title":"Stabilizing discrete-time switched linear systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"Atreyee Kundu, Debasish Chatterjee","submitted_at":"2013-10-14T08:50:34Z","abstract_excerpt":"This article deals with stabilizing discrete-time switched linear systems. Our contributions are threefold: Firstly, given a family of linear systems possibly containing unstable dynamics, we propose a large class of switching signals that stabilize a switched system generated by the switching signal and the given family of systems. Secondly, given a switched system, a sufficient condition for the existence of the proposed switching signal is derived by expressing the switching signal as an infinite walk on a directed graph representing the switched system. Thirdly, given a family of linear sy"},"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":"1310.3595","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2013-10-14T08:50:34Z","cross_cats_sorted":[],"title_canon_sha256":"ec4c41a5409eb88ad52e7bab68e3cb1b9334d7581811e0a596b8e2ec147736b7","abstract_canon_sha256":"149dcec29883a27bf48a6edf05b4282a45c5c86e1c15cf55be398d526f3f2198"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:23.434782Z","signature_b64":"CUoX9FeDNQD7wNOcTSw/3MoWMeovwEfJn/9639yjkGm9CE1Yn9b8R7kckt2dpn7f6Rz/QS2i/tsdg8eelwlrCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5c29fb0c3ccfb3f44f4c8b2ab2552a255b353724ba834112bd0935c3762bd8e","last_reissued_at":"2026-05-18T02:52:23.434066Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:23.434066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stabilizing discrete-time switched linear systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"Atreyee Kundu, Debasish Chatterjee","submitted_at":"2013-10-14T08:50:34Z","abstract_excerpt":"This article deals with stabilizing discrete-time switched linear systems. Our contributions are threefold: Firstly, given a family of linear systems possibly containing unstable dynamics, we propose a large class of switching signals that stabilize a switched system generated by the switching signal and the given family of systems. Secondly, given a switched system, a sufficient condition for the existence of the proposed switching signal is derived by expressing the switching signal as an infinite walk on a directed graph representing the switched system. Thirdly, given a family of linear sy"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.3595","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":"1310.3595","created_at":"2026-05-18T02:52:23.434203+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.3595v1","created_at":"2026-05-18T02:52:23.434203+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.3595","created_at":"2026-05-18T02:52:23.434203+00:00"},{"alias_kind":"pith_short_12","alias_value":"4XBJ7MGDZT5T","created_at":"2026-05-18T12:27:34.582898+00:00"},{"alias_kind":"pith_short_16","alias_value":"4XBJ7MGDZT5T6RHU","created_at":"2026-05-18T12:27:34.582898+00:00"},{"alias_kind":"pith_short_8","alias_value":"4XBJ7MGD","created_at":"2026-05-18T12:27:34.582898+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/4XBJ7MGDZT5T6RHUZCZKWJKSUJ","json":"https://pith.science/pith/4XBJ7MGDZT5T6RHUZCZKWJKSUJ.json","graph_json":"https://pith.science/api/pith-number/4XBJ7MGDZT5T6RHUZCZKWJKSUJ/graph.json","events_json":"https://pith.science/api/pith-number/4XBJ7MGDZT5T6RHUZCZKWJKSUJ/events.json","paper":"https://pith.science/paper/4XBJ7MGD"},"agent_actions":{"view_html":"https://pith.science/pith/4XBJ7MGDZT5T6RHUZCZKWJKSUJ","download_json":"https://pith.science/pith/4XBJ7MGDZT5T6RHUZCZKWJKSUJ.json","view_paper":"https://pith.science/paper/4XBJ7MGD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.3595&json=true","fetch_graph":"https://pith.science/api/pith-number/4XBJ7MGDZT5T6RHUZCZKWJKSUJ/graph.json","fetch_events":"https://pith.science/api/pith-number/4XBJ7MGDZT5T6RHUZCZKWJKSUJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4XBJ7MGDZT5T6RHUZCZKWJKSUJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4XBJ7MGDZT5T6RHUZCZKWJKSUJ/action/storage_attestation","attest_author":"https://pith.science/pith/4XBJ7MGDZT5T6RHUZCZKWJKSUJ/action/author_attestation","sign_citation":"https://pith.science/pith/4XBJ7MGDZT5T6RHUZCZKWJKSUJ/action/citation_signature","submit_replication":"https://pith.science/pith/4XBJ7MGDZT5T6RHUZCZKWJKSUJ/action/replication_record"}},"created_at":"2026-05-18T02:52:23.434203+00:00","updated_at":"2026-05-18T02:52:23.434203+00:00"}