{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:XM3HPFX6OFIV4NTFVHCSB5MCQW","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":"24b32d1abda79681d2e744174432aad2c6b5d2b90cdf445257b1ef4de1e66062","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-02-28T17:47:25Z","title_canon_sha256":"d69a85c349f09186780f7e9a1b673088c1de4480eeb0f21bf60e54cb7357f904"},"schema_version":"1.0","source":{"id":"1902.11244","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.11244","created_at":"2026-05-17T23:46:28Z"},{"alias_kind":"arxiv_version","alias_value":"1902.11244v2","created_at":"2026-05-17T23:46:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.11244","created_at":"2026-05-17T23:46:28Z"},{"alias_kind":"pith_short_12","alias_value":"XM3HPFX6OFIV","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"XM3HPFX6OFIV4NTF","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"XM3HPFX6","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:b7ec636e46b1deaef6ff491caa7cfe51c5d001f244ae44682773a3ad4bb89f4c","target":"graph","created_at":"2026-05-17T23:46:28Z","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 paper we consider the distributed linear quadratic control problem for networks of agents with single integrator dynamics. We first establish a general formulation of the distributed LQ problem and show that the optimal control gain depends on global information on the network. Thus, the optimal protocol can only be computed in a centralized fashion. In order to overcome this drawback, we propose the design of protocols that are computed in a decentralized way. We will write the global cost functional as a sum of local cost functionals, each associated with one of the agents. In order ","authors_text":"Harry L. Trentelman, Junjie Jiao, M. Kanat Camlibel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-02-28T17:47:25Z","title":"Distributed Linear Quadratic Optimal Control: Compute Locally and Act Globally"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.11244","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:b5527e820edda0e4f9591692de68f470dbbec30e0a43bdced40f247c6cb2a1ae","target":"record","created_at":"2026-05-17T23:46:28Z","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":"24b32d1abda79681d2e744174432aad2c6b5d2b90cdf445257b1ef4de1e66062","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-02-28T17:47:25Z","title_canon_sha256":"d69a85c349f09186780f7e9a1b673088c1de4480eeb0f21bf60e54cb7357f904"},"schema_version":"1.0","source":{"id":"1902.11244","kind":"arxiv","version":2}},"canonical_sha256":"bb367796fe71515e3665a9c520f58285b4f9f0690946ddfc923e158ff65dcc38","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb367796fe71515e3665a9c520f58285b4f9f0690946ddfc923e158ff65dcc38","first_computed_at":"2026-05-17T23:46:28.811380Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:46:28.811380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6y2xygSiAb/W01c1qgM8FvivbF3Dyuio/0X2zIe2ZIUNhPzGrWy7oJ2Vi05MUHCep2fEwcTFl1OdseTP4DA4DQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:46:28.811950Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.11244","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5527e820edda0e4f9591692de68f470dbbec30e0a43bdced40f247c6cb2a1ae","sha256:b7ec636e46b1deaef6ff491caa7cfe51c5d001f244ae44682773a3ad4bb89f4c"],"state_sha256":"fc28eb5826ae010cf9a718c9cbe02fe24ff74cb00d8faead67cb4f23e383c85d"}