{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:5CXUYLHYLXNI5WLRQJUAFWSOND","short_pith_number":"pith:5CXUYLHY","schema_version":"1.0","canonical_sha256":"e8af4c2cf85dda8ed971826802da4e68c22d39f0e15ad586490318672bb20a65","source":{"kind":"arxiv","id":"1602.07887","version":1},"attestation_state":"computed","paper":{"title":"Multiple integral inequalities and stability analysis of time delay systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Eva Gyurkovics, Tibor Takacs","submitted_at":"2016-02-25T11:24:05Z","abstract_excerpt":"This paper is devoted to stability analysis of continuous-time delay systems based on a set of Lyapunov-Krasovskii functionals. New multiple integral inequalities are derived that involve the famous Jensen's and Wirtinger's inequalities, as well as the recently presented Bessel-Legendre inequalities of A. Seuret and F. Gouaisbaut, (2015) and the Wirtinger-based multiple-integral inequalities of M. Park et al. (2015) and T.H. Lee et al. (2015).\n  The present paper aims at showing that the proposed set of sufficient stability conditions can be arranged into a bidirectional hierarchy of LMIs esta"},"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":"1602.07887","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-02-25T11:24:05Z","cross_cats_sorted":[],"title_canon_sha256":"0899a96f86c08343e470bad84a89b1a222f7e6739ece024c3e18bd20ccf1ebf0","abstract_canon_sha256":"573c87ba33487fcb1a0d2aec65f15fad6d6a450142ade98c93f303dd84c28ca0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:32.317817Z","signature_b64":"YRj9zHXgA7UoYUg8gWiBmDqeIxgD1LdlFbJLMB1rR9XqTbeGtyy2D6MNgabYP4XiPbldD0CC7K4EKzQd0z9VDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e8af4c2cf85dda8ed971826802da4e68c22d39f0e15ad586490318672bb20a65","last_reissued_at":"2026-05-18T01:08:32.317186Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:32.317186Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multiple integral inequalities and stability analysis of time delay systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Eva Gyurkovics, Tibor Takacs","submitted_at":"2016-02-25T11:24:05Z","abstract_excerpt":"This paper is devoted to stability analysis of continuous-time delay systems based on a set of Lyapunov-Krasovskii functionals. New multiple integral inequalities are derived that involve the famous Jensen's and Wirtinger's inequalities, as well as the recently presented Bessel-Legendre inequalities of A. Seuret and F. Gouaisbaut, (2015) and the Wirtinger-based multiple-integral inequalities of M. Park et al. (2015) and T.H. Lee et al. (2015).\n  The present paper aims at showing that the proposed set of sufficient stability conditions can be arranged into a bidirectional hierarchy of LMIs esta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.07887","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":"1602.07887","created_at":"2026-05-18T01:08:32.317291+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.07887v1","created_at":"2026-05-18T01:08:32.317291+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.07887","created_at":"2026-05-18T01:08:32.317291+00:00"},{"alias_kind":"pith_short_12","alias_value":"5CXUYLHYLXNI","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_16","alias_value":"5CXUYLHYLXNI5WLR","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_8","alias_value":"5CXUYLHY","created_at":"2026-05-18T12:30:01.593930+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/5CXUYLHYLXNI5WLRQJUAFWSOND","json":"https://pith.science/pith/5CXUYLHYLXNI5WLRQJUAFWSOND.json","graph_json":"https://pith.science/api/pith-number/5CXUYLHYLXNI5WLRQJUAFWSOND/graph.json","events_json":"https://pith.science/api/pith-number/5CXUYLHYLXNI5WLRQJUAFWSOND/events.json","paper":"https://pith.science/paper/5CXUYLHY"},"agent_actions":{"view_html":"https://pith.science/pith/5CXUYLHYLXNI5WLRQJUAFWSOND","download_json":"https://pith.science/pith/5CXUYLHYLXNI5WLRQJUAFWSOND.json","view_paper":"https://pith.science/paper/5CXUYLHY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.07887&json=true","fetch_graph":"https://pith.science/api/pith-number/5CXUYLHYLXNI5WLRQJUAFWSOND/graph.json","fetch_events":"https://pith.science/api/pith-number/5CXUYLHYLXNI5WLRQJUAFWSOND/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5CXUYLHYLXNI5WLRQJUAFWSOND/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5CXUYLHYLXNI5WLRQJUAFWSOND/action/storage_attestation","attest_author":"https://pith.science/pith/5CXUYLHYLXNI5WLRQJUAFWSOND/action/author_attestation","sign_citation":"https://pith.science/pith/5CXUYLHYLXNI5WLRQJUAFWSOND/action/citation_signature","submit_replication":"https://pith.science/pith/5CXUYLHYLXNI5WLRQJUAFWSOND/action/replication_record"}},"created_at":"2026-05-18T01:08:32.317291+00:00","updated_at":"2026-05-18T01:08:32.317291+00:00"}