{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KEK2EWFRS6MO4F67FMURRFHVVX","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":"6d0c41709b2121113c176f718b4e0a79061b6d2293b140024f0272eeef9bc5cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-07-07T05:44:12Z","title_canon_sha256":"70a6fd9436b935a3114cc9ace9af26d57d8496ecf4a1be6bbd665a2c06fd617c"},"schema_version":"1.0","source":{"id":"1707.02044","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.02044","created_at":"2026-05-18T00:31:55Z"},{"alias_kind":"arxiv_version","alias_value":"1707.02044v2","created_at":"2026-05-18T00:31:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.02044","created_at":"2026-05-18T00:31:55Z"},{"alias_kind":"pith_short_12","alias_value":"KEK2EWFRS6MO","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KEK2EWFRS6MO4F67","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KEK2EWFR","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:175b60d8220ea0b6411bdc4cd879e079ef7db601b9a569f744242c3785691e2a","target":"graph","created_at":"2026-05-18T00:31:55Z","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":"In this short note, we derive dissipative conditions with slack variables for a linear coupled differential-difference (CDDS) via constructing a Krasovskii functional. The approach can be interpreted as a generalization of the Finsler Lemma approach for standard LTI systems proposed previously in \\cite{de2001stability}. We also show that the proposed slack variables scheme is equivalent to the approach based on directly substituting the system trajectory $\\dot{\\bm{x}}(t)$, similar to the case of LTI system.","authors_text":"Qian Feng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-07-07T05:44:12Z","title":"Dissipative Stability Conditions for Linear Coupled Differential-Difference Systems via a Dynamical Constraints Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.02044","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":"sha256:5ab73c32c05fb5b3f0b3c53b82611b4d451a868a76fa0500320363988bbcd6b3","target":"record","created_at":"2026-05-18T00:31:55Z","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":"6d0c41709b2121113c176f718b4e0a79061b6d2293b140024f0272eeef9bc5cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-07-07T05:44:12Z","title_canon_sha256":"70a6fd9436b935a3114cc9ace9af26d57d8496ecf4a1be6bbd665a2c06fd617c"},"schema_version":"1.0","source":{"id":"1707.02044","kind":"arxiv","version":2}},"canonical_sha256":"5115a258b19798ee17df2b291894f5adc02f0739b4c578bde2c834f3874c5409","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5115a258b19798ee17df2b291894f5adc02f0739b4c578bde2c834f3874c5409","first_computed_at":"2026-05-18T00:31:55.755401Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:55.755401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ywDzqIZHEzyE8G2KVQ/OXxibxh3WgEHiEZCgdEJNKvQSFaa/r7kgxvRhDv36K/SoajP7rGxCa5iWJNoKVpSEBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:55.755783Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.02044","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ab73c32c05fb5b3f0b3c53b82611b4d451a868a76fa0500320363988bbcd6b3","sha256:175b60d8220ea0b6411bdc4cd879e079ef7db601b9a569f744242c3785691e2a"],"state_sha256":"d165395a65f237c9cfe2f314ad5f46708cb226b679d77fe811d3f9a2fa8f5dfa"}