{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:NTJTJAVG74I67VYHLNZWOHYMW7","short_pith_number":"pith:NTJTJAVG","canonical_record":{"source":{"id":"1803.01336","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-04T11:09:32Z","cross_cats_sorted":[],"title_canon_sha256":"772ead6a84dba32714615ee9f699e406d10af02e57e898b224d1c842bbadaaf2","abstract_canon_sha256":"a63b7aa150e362a819a22a18b6ee1159c1c9b4d9dceccef63f4cb25d948364cc"},"schema_version":"1.0"},"canonical_sha256":"6cd33482a6ff11efd7075b73671f0cb7d67dddef97ed11d43c60302b9cef71af","source":{"kind":"arxiv","id":"1803.01336","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.01336","created_at":"2026-05-17T23:53:44Z"},{"alias_kind":"arxiv_version","alias_value":"1803.01336v1","created_at":"2026-05-17T23:53:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.01336","created_at":"2026-05-17T23:53:44Z"},{"alias_kind":"pith_short_12","alias_value":"NTJTJAVG74I6","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NTJTJAVG74I67VYH","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NTJTJAVG","created_at":"2026-05-18T12:32:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:NTJTJAVG74I67VYHLNZWOHYMW7","target":"record","payload":{"canonical_record":{"source":{"id":"1803.01336","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-04T11:09:32Z","cross_cats_sorted":[],"title_canon_sha256":"772ead6a84dba32714615ee9f699e406d10af02e57e898b224d1c842bbadaaf2","abstract_canon_sha256":"a63b7aa150e362a819a22a18b6ee1159c1c9b4d9dceccef63f4cb25d948364cc"},"schema_version":"1.0"},"canonical_sha256":"6cd33482a6ff11efd7075b73671f0cb7d67dddef97ed11d43c60302b9cef71af","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:44.319104Z","signature_b64":"HLJgYxG2omp+VDCdW4xMTdwAAGtBlzhALJlyP4r/q5brP1m7pTtvJ5KCrl/mPf+2DBW5Wl61PSU5O2Ouax7rCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6cd33482a6ff11efd7075b73671f0cb7d67dddef97ed11d43c60302b9cef71af","last_reissued_at":"2026-05-17T23:53:44.318675Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:44.318675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.01336","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:53:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fvsZFXs3liLXzPpgSAWT3f4pIDp1F3bJncdf5TGP+7mTJqnwTi5GUY4Zn0PVzScm+95wq+k+PneM9JaxCOQHCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T07:23:27.111282Z"},"content_sha256":"3292cce0d2208cf95ae98df88a95065d6f3a75d34e4032798c762a98eb3d2c47","schema_version":"1.0","event_id":"sha256:3292cce0d2208cf95ae98df88a95065d6f3a75d34e4032798c762a98eb3d2c47"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:NTJTJAVG74I67VYHLNZWOHYMW7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Control for Networked Control Systems with Remote and Local Controllers over Unreliable Communication Channel","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Juanjuan Xu, Xiao Liang","submitted_at":"2018-03-04T11:09:32Z","abstract_excerpt":"This paper is concerned with the problems of optimal control and stabilization for networked control systems (NCSs), where the remote controller and the local controller operate the linear plant simultaneously. The main contributions are two-fold. Firstly, a necessary and sufficient condition for the finite horizon optimal control problem is given in terms of the two Riccati equations. Secondly, it is shown that the system without the additive noise is stabilizable in the mean square sense if and only if the two algebraic Riccati equations admit the unique solutions, and a sufficient condition"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.01336","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:53:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p3PJ4XgkMNqVeT6IqKsMaJn7QoeSCgmI+nkvQb/mn67N4Lo2JzQHD92K0m5vnqkPl51B4lyzKPNGRBvlBSaWAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T07:23:27.111809Z"},"content_sha256":"d1f29bc0b3872dbbd1190f5a1099aceca2c0d907a6bc070b49dacd946503bee0","schema_version":"1.0","event_id":"sha256:d1f29bc0b3872dbbd1190f5a1099aceca2c0d907a6bc070b49dacd946503bee0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NTJTJAVG74I67VYHLNZWOHYMW7/bundle.json","state_url":"https://pith.science/pith/NTJTJAVG74I67VYHLNZWOHYMW7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NTJTJAVG74I67VYHLNZWOHYMW7/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-23T07:23:27Z","links":{"resolver":"https://pith.science/pith/NTJTJAVG74I67VYHLNZWOHYMW7","bundle":"https://pith.science/pith/NTJTJAVG74I67VYHLNZWOHYMW7/bundle.json","state":"https://pith.science/pith/NTJTJAVG74I67VYHLNZWOHYMW7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NTJTJAVG74I67VYHLNZWOHYMW7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NTJTJAVG74I67VYHLNZWOHYMW7","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":"a63b7aa150e362a819a22a18b6ee1159c1c9b4d9dceccef63f4cb25d948364cc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-04T11:09:32Z","title_canon_sha256":"772ead6a84dba32714615ee9f699e406d10af02e57e898b224d1c842bbadaaf2"},"schema_version":"1.0","source":{"id":"1803.01336","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.01336","created_at":"2026-05-17T23:53:44Z"},{"alias_kind":"arxiv_version","alias_value":"1803.01336v1","created_at":"2026-05-17T23:53:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.01336","created_at":"2026-05-17T23:53:44Z"},{"alias_kind":"pith_short_12","alias_value":"NTJTJAVG74I6","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NTJTJAVG74I67VYH","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NTJTJAVG","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:d1f29bc0b3872dbbd1190f5a1099aceca2c0d907a6bc070b49dacd946503bee0","target":"graph","created_at":"2026-05-17T23:53:44Z","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 is concerned with the problems of optimal control and stabilization for networked control systems (NCSs), where the remote controller and the local controller operate the linear plant simultaneously. The main contributions are two-fold. Firstly, a necessary and sufficient condition for the finite horizon optimal control problem is given in terms of the two Riccati equations. Secondly, it is shown that the system without the additive noise is stabilizable in the mean square sense if and only if the two algebraic Riccati equations admit the unique solutions, and a sufficient condition","authors_text":"Juanjuan Xu, Xiao Liang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-04T11:09:32Z","title":"Control for Networked Control Systems with Remote and Local Controllers over Unreliable Communication Channel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.01336","kind":"arxiv","version":1},"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":"sha256:3292cce0d2208cf95ae98df88a95065d6f3a75d34e4032798c762a98eb3d2c47","target":"record","created_at":"2026-05-17T23:53:44Z","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":"a63b7aa150e362a819a22a18b6ee1159c1c9b4d9dceccef63f4cb25d948364cc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-04T11:09:32Z","title_canon_sha256":"772ead6a84dba32714615ee9f699e406d10af02e57e898b224d1c842bbadaaf2"},"schema_version":"1.0","source":{"id":"1803.01336","kind":"arxiv","version":1}},"canonical_sha256":"6cd33482a6ff11efd7075b73671f0cb7d67dddef97ed11d43c60302b9cef71af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6cd33482a6ff11efd7075b73671f0cb7d67dddef97ed11d43c60302b9cef71af","first_computed_at":"2026-05-17T23:53:44.318675Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:44.318675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HLJgYxG2omp+VDCdW4xMTdwAAGtBlzhALJlyP4r/q5brP1m7pTtvJ5KCrl/mPf+2DBW5Wl61PSU5O2Ouax7rCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:44.319104Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.01336","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3292cce0d2208cf95ae98df88a95065d6f3a75d34e4032798c762a98eb3d2c47","sha256:d1f29bc0b3872dbbd1190f5a1099aceca2c0d907a6bc070b49dacd946503bee0"],"state_sha256":"0fee9b8585c4a4bf7f279f55be5629137bee252fc04c66bfbc815f03d98a94ea"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R+Ol1g2hvGFqgFYiQKPxtMzpYqN1DYvbE6/qA+sWKDNbZTZ5J5n1P7JMBcide7X83m06JHlzwcadjb+7ciLUCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T07:23:27.113756Z","bundle_sha256":"9ead3c63bc193327b62bfebeb9265214b8a3b98b533c7d74d469c1a57a905480"}}