{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:BVNGGIDNFTZUPRLVYHGYHFXJ3O","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":"d6211dad1cd9e447dbaa98ecac75add974c55b7848cf6de3185b9c9a6724c878","cross_cats_sorted":["math.OC"],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"math.DS","submitted_at":"2015-01-21T19:18:26Z","title_canon_sha256":"70797f4485c3bc4887d1b4082a60a9087599bf5535461cd5ebf4a15fa3b1330d"},"schema_version":"1.0","source":{"id":"1501.05266","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.05266","created_at":"2026-05-18T02:28:54Z"},{"alias_kind":"arxiv_version","alias_value":"1501.05266v2","created_at":"2026-05-18T02:28:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.05266","created_at":"2026-05-18T02:28:54Z"},{"alias_kind":"pith_short_12","alias_value":"BVNGGIDNFTZU","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BVNGGIDNFTZUPRLV","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BVNGGIDN","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:6de261b501f56a41f02776171526e935245965ac0412e4e8bc8019c235b89418","target":"graph","created_at":"2026-05-18T02:28:54Z","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":"Stability analysis tools are essential to understanding and controlling any engineering system. Recently sum-of-squares (SOS) based methods have been used to compute Lyapunov based estimates for the region-of-attraction (ROA) of polynomial dynamical systems. But for a real-life large scale dynamical system this method becomes inapplicable because of growing computational burden. In such a case, it is important to develop a subsystem based stability analysis approach which is the focus of the work presented here. A parallel and scalable algorithm is used to infer stability of an interconnected ","authors_text":"Marian Anghel, Soumya Kundu","cross_cats":["math.OC"],"headline":"","license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"math.DS","submitted_at":"2015-01-21T19:18:26Z","title":"A Sum-of-Squares approach to the Stability and Control of Interconnected Systems using Vector Lyapunov Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.05266","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:b21df6b4e472200b9a54020e95ddd8576705cc81a1c81e18ad885dfa78ed8cd6","target":"record","created_at":"2026-05-18T02:28:54Z","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":"d6211dad1cd9e447dbaa98ecac75add974c55b7848cf6de3185b9c9a6724c878","cross_cats_sorted":["math.OC"],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"math.DS","submitted_at":"2015-01-21T19:18:26Z","title_canon_sha256":"70797f4485c3bc4887d1b4082a60a9087599bf5535461cd5ebf4a15fa3b1330d"},"schema_version":"1.0","source":{"id":"1501.05266","kind":"arxiv","version":2}},"canonical_sha256":"0d5a63206d2cf347c575c1cd8396e9db8ffa675ccd2e7f4cc5ca217ce60f16a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d5a63206d2cf347c575c1cd8396e9db8ffa675ccd2e7f4cc5ca217ce60f16a7","first_computed_at":"2026-05-18T02:28:54.799030Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:54.799030Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"txEAWeAjbmx80wsPFt5524o82/XTzymA53IHhzJta5IXHvAdJMSJwxASoCvCu0rr1hEMR0PCuzMLEXJp/MvTBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:54.799393Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.05266","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b21df6b4e472200b9a54020e95ddd8576705cc81a1c81e18ad885dfa78ed8cd6","sha256:6de261b501f56a41f02776171526e935245965ac0412e4e8bc8019c235b89418"],"state_sha256":"c7a212ddd6e833f182d6c4130c85270fb91b7a4bcece9aa1d077fe4d767889e1"}