{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:WJJND74SATCGZF2WRGA234MU6D","short_pith_number":"pith:WJJND74S","schema_version":"1.0","canonical_sha256":"b252d1ff9204c46c97568981adf194f0c15075114c7df0eee917d7a8b5573c38","source":{"kind":"arxiv","id":"1509.02668","version":1},"attestation_state":"computed","paper":{"title":"A graph theoretic approach to input-to-state stability of switched 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":"2015-09-09T08:07:23Z","abstract_excerpt":"This article deals with input-to-state stability (ISS) of discrete-time switched systems. Given a family of nonlinear systems with exogenous inputs, we present a class of switching signals under which the resulting switched system is ISS. We allow non-ISS systems in the family and our analysis involves graph-theoretic arguments. A weighted digraph is associated to the switched system, and a switching signal is expressed as an infinite walk on this digraph, both in a natural way. Our class of stabilizing switching signals (infinite walks) is periodic in nature and affords simple algorithmic con"},"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":"1509.02668","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2015-09-09T08:07:23Z","cross_cats_sorted":[],"title_canon_sha256":"013059c057a27ae303bc2018fe3cbb4a451331c399d29386c87eff51f45f1f1d","abstract_canon_sha256":"680ef9a60a04e9d657d6f6e52b3d85b905308b645b4dac93822c3bc392523735"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:49.312024Z","signature_b64":"ekk4aP1ld6olf+9fLDiR5nJDNUmDpWwEmohfO4epM8GvuB8QbXjFWSO7UifAA0wUUbirdoL8XN3bA1jdghAbAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b252d1ff9204c46c97568981adf194f0c15075114c7df0eee917d7a8b5573c38","last_reissued_at":"2026-05-18T00:29:49.311541Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:49.311541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A graph theoretic approach to input-to-state stability of switched 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":"2015-09-09T08:07:23Z","abstract_excerpt":"This article deals with input-to-state stability (ISS) of discrete-time switched systems. Given a family of nonlinear systems with exogenous inputs, we present a class of switching signals under which the resulting switched system is ISS. We allow non-ISS systems in the family and our analysis involves graph-theoretic arguments. A weighted digraph is associated to the switched system, and a switching signal is expressed as an infinite walk on this digraph, both in a natural way. Our class of stabilizing switching signals (infinite walks) is periodic in nature and affords simple algorithmic con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.02668","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":"1509.02668","created_at":"2026-05-18T00:29:49.311615+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.02668v1","created_at":"2026-05-18T00:29:49.311615+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.02668","created_at":"2026-05-18T00:29:49.311615+00:00"},{"alias_kind":"pith_short_12","alias_value":"WJJND74SATCG","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_16","alias_value":"WJJND74SATCGZF2W","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_8","alias_value":"WJJND74S","created_at":"2026-05-18T12:29:47.479230+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/WJJND74SATCGZF2WRGA234MU6D","json":"https://pith.science/pith/WJJND74SATCGZF2WRGA234MU6D.json","graph_json":"https://pith.science/api/pith-number/WJJND74SATCGZF2WRGA234MU6D/graph.json","events_json":"https://pith.science/api/pith-number/WJJND74SATCGZF2WRGA234MU6D/events.json","paper":"https://pith.science/paper/WJJND74S"},"agent_actions":{"view_html":"https://pith.science/pith/WJJND74SATCGZF2WRGA234MU6D","download_json":"https://pith.science/pith/WJJND74SATCGZF2WRGA234MU6D.json","view_paper":"https://pith.science/paper/WJJND74S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.02668&json=true","fetch_graph":"https://pith.science/api/pith-number/WJJND74SATCGZF2WRGA234MU6D/graph.json","fetch_events":"https://pith.science/api/pith-number/WJJND74SATCGZF2WRGA234MU6D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WJJND74SATCGZF2WRGA234MU6D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WJJND74SATCGZF2WRGA234MU6D/action/storage_attestation","attest_author":"https://pith.science/pith/WJJND74SATCGZF2WRGA234MU6D/action/author_attestation","sign_citation":"https://pith.science/pith/WJJND74SATCGZF2WRGA234MU6D/action/citation_signature","submit_replication":"https://pith.science/pith/WJJND74SATCGZF2WRGA234MU6D/action/replication_record"}},"created_at":"2026-05-18T00:29:49.311615+00:00","updated_at":"2026-05-18T00:29:49.311615+00:00"}