{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YDC36RDP3CFVN7Y6NPTDPACSQC","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":"2e0894ee3ee1f3499921c3980ef755073d8993227f105dca67f33606a5d6da7b","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2013-12-30T14:18:51Z","title_canon_sha256":"bfaa8459a7d4fa0b795b9944e68b84be0172bb871acb20ddd998269dfb4e6322"},"schema_version":"1.0","source":{"id":"1312.7724","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.7724","created_at":"2026-05-18T02:40:54Z"},{"alias_kind":"arxiv_version","alias_value":"1312.7724v3","created_at":"2026-05-18T02:40:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7724","created_at":"2026-05-18T02:40:54Z"},{"alias_kind":"pith_short_12","alias_value":"YDC36RDP3CFV","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YDC36RDP3CFVN7Y6","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YDC36RDP","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:398ee981d790b5503ad839a0e003d13c97eb46b86acf0c9679c9d8c42f229f2c","target":"graph","created_at":"2026-05-18T02:40:54Z","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":"This paper gives a new solution to the output feedback H2 problem for quadratically invariant communication delay patterns. A characterization of all stabilizing controllers satisfying the delay constraints is given and the decentralized H2 problem is cast as a convex model matching problem. The main result shows that the model matching problem can be reduced to a finite-dimensional quadratic program. A recursive state-space method for computing the optimal controller based on vectorization is given.","authors_text":"Andrew Lamperski, John C. Doyle","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2013-12-30T14:18:51Z","title":"The H2 Control Problem for Quadratically Invariant Systems with Delays"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7724","kind":"arxiv","version":3},"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":"sha256:308ea0792547d1201abb5c6b1bad850e9337a4b05f494aa8f9a221f54534addd","target":"record","created_at":"2026-05-18T02:40:54Z","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":"2e0894ee3ee1f3499921c3980ef755073d8993227f105dca67f33606a5d6da7b","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2013-12-30T14:18:51Z","title_canon_sha256":"bfaa8459a7d4fa0b795b9944e68b84be0172bb871acb20ddd998269dfb4e6322"},"schema_version":"1.0","source":{"id":"1312.7724","kind":"arxiv","version":3}},"canonical_sha256":"c0c5bf446fd88b56ff1e6be637805280a90f03353d5a790aa70a8789290ed6cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0c5bf446fd88b56ff1e6be637805280a90f03353d5a790aa70a8789290ed6cd","first_computed_at":"2026-05-18T02:40:54.097479Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:54.097479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aj7y/83TM8rbA7I+IC9VKLox0Di6LOaNNA8fLGDtNSt1xUpGtwnl1KSC+qlmyOMwYKRWYLUco+Nm8T2K46gQCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:54.098068Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.7724","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:308ea0792547d1201abb5c6b1bad850e9337a4b05f494aa8f9a221f54534addd","sha256:398ee981d790b5503ad839a0e003d13c97eb46b86acf0c9679c9d8c42f229f2c"],"state_sha256":"fd15d60cf84ccba0cd8f3317ef723ca645a2431ebe79c1b1fc4950f72a172f1d"}