{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WROWXPRMGGMUJ3O7ZKVU5ICQSC","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"220e825fa2d86abff8a357c258825679e4608a4e36c142534694ddd59a45796f","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-03-16T06:40:33Z","title_canon_sha256":"c83fc972e73549d58240a0c0f3a7a641bcbaa5b2d8e570d7dae382b7869d7b02"},"schema_version":"1.0","source":{"id":"1703.05483","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.05483","created_at":"2026-05-17T23:44:23Z"},{"alias_kind":"arxiv_version","alias_value":"1703.05483v2","created_at":"2026-05-17T23:44:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.05483","created_at":"2026-05-17T23:44:23Z"},{"alias_kind":"pith_short_12","alias_value":"WROWXPRMGGMU","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WROWXPRMGGMUJ3O7","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WROWXPRM","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:60ce9e0a05ff862f73f3169375fe324e5807fd45f0ba03a41287effd2018d65e","target":"graph","created_at":"2026-05-17T23:44:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Characterization of classes of switching signals that ensure stability of switched systems occupies a significant portion of the switched systems literature. This article collects a multitude of stabilizing switching signals under an umbrella framework. We achieve this in two steps: Firstly, given a family of systems, possibly containing unstable dynamics, we propose a new and general class of stabilizing switching signals. Secondly, we demonstrate that prior results based on both point-wise and asymptotic characterizations follow our result. This is the first attempt in the switched systems l","authors_text":"Atreyee Kundu, Debasish Chatterjee","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-03-16T06:40:33Z","title":"Stabilizing switching signals: a transition from point-wise to asymptotic conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.05483","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d3ec988f4bdb6f7c6b5a1fc946f5a98a54c622e65c183718a41ce073f6e390b4","target":"record","created_at":"2026-05-17T23:44:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"220e825fa2d86abff8a357c258825679e4608a4e36c142534694ddd59a45796f","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-03-16T06:40:33Z","title_canon_sha256":"c83fc972e73549d58240a0c0f3a7a641bcbaa5b2d8e570d7dae382b7869d7b02"},"schema_version":"1.0","source":{"id":"1703.05483","kind":"arxiv","version":2}},"canonical_sha256":"b45d6bbe2c319944eddfcaab4ea050908cc0266c883413e5155306e2eb8a140e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b45d6bbe2c319944eddfcaab4ea050908cc0266c883413e5155306e2eb8a140e","first_computed_at":"2026-05-17T23:44:23.042847Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:23.042847Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F0LzogQFCzx6I2vDlUaLoWkX5Gt9JD/eP4g6bqzN/OfRwfvzT3464IpIZZKTbHoZzSycbbx6VxoATMVq3qdyCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:23.046942Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.05483","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3ec988f4bdb6f7c6b5a1fc946f5a98a54c622e65c183718a41ce073f6e390b4","sha256:60ce9e0a05ff862f73f3169375fe324e5807fd45f0ba03a41287effd2018d65e"],"state_sha256":"8f416583b5367ea30d9af18d5e49a2ad3fc19365ac90b0f2ececd120335d5f06"}