{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5VOFBEJTEUIWEZ7LFWQPMS5SQG","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":"3de613052cc678aace24e14ab40a69a31be1f58f7e3945ac75b230011f3d256f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-30T14:31:04Z","title_canon_sha256":"59c2445d9eca7c243ec7ae9b55fe8dced1363acbd1cc3d69355f134972524718"},"schema_version":"1.0","source":{"id":"1711.11422","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.11422","created_at":"2026-05-17T23:45:53Z"},{"alias_kind":"arxiv_version","alias_value":"1711.11422v2","created_at":"2026-05-17T23:45:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.11422","created_at":"2026-05-17T23:45:53Z"},{"alias_kind":"pith_short_12","alias_value":"5VOFBEJTEUIW","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5VOFBEJTEUIWEZ7L","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5VOFBEJT","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:339a78d52a0d59d47572670208bbbe16bacae11edc103e54ae5567af2f3c1c66","target":"graph","created_at":"2026-05-17T23:45:53Z","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 studies optimal consensus tracking problem of heterogeneous linear multi-agent systems. By introducing tracking error dynamics, the optimal tracking problem is reformulated as finding a Nash-equilibrium solution of a multi-player games, which can be done by solving associated coupled Hamilton-Jacobi (HJ) equations. A data-based error estimator is designed to obtain the data-based control for the multi-agent systems. Using the quadratic functional to approximate the every agent's value function, we can obtain the optimal cooperative control by input-output (I/O) $Q$-learning algorith","authors_text":"Hongwei Zhang, Jilie Zhang, Zhanshan Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-30T14:31:04Z","title":"Data-Based Optimal Control of Multi-Agent Systems: A Reinforcement Learning Design Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.11422","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:c84c87bc4b88636088a63b2cd403b2fa0f68677fb30d7212ce43c82c97b8e6eb","target":"record","created_at":"2026-05-17T23:45:53Z","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":"3de613052cc678aace24e14ab40a69a31be1f58f7e3945ac75b230011f3d256f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-11-30T14:31:04Z","title_canon_sha256":"59c2445d9eca7c243ec7ae9b55fe8dced1363acbd1cc3d69355f134972524718"},"schema_version":"1.0","source":{"id":"1711.11422","kind":"arxiv","version":2}},"canonical_sha256":"ed5c50913325116267eb2da0f64bb281b3f7f1a085410c39daa6cbd0180527c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed5c50913325116267eb2da0f64bb281b3f7f1a085410c39daa6cbd0180527c2","first_computed_at":"2026-05-17T23:45:53.329031Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:53.329031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gpHrkKF2ZkttkglSeXdpUHsJa0o95B+3erFkXC2M+WvVPBdvbgMUCnqBxUx6V1xoCPEQqGOPqjSc18dzv+qDDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:53.329619Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.11422","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c84c87bc4b88636088a63b2cd403b2fa0f68677fb30d7212ce43c82c97b8e6eb","sha256:339a78d52a0d59d47572670208bbbe16bacae11edc103e54ae5567af2f3c1c66"],"state_sha256":"45f300d2f1f3bfafc99ba267052d7ce838d0f60357bb0c2387de6eb08c7548f9"}