{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:C3OYUTXIYR5SKECID47WAMYRFC","short_pith_number":"pith:C3OYUTXI","canonical_record":{"source":{"id":"1707.05044","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-07-17T08:47:12Z","cross_cats_sorted":[],"title_canon_sha256":"2448f2baaca86d41d66c5c6efe26c30f0bc7ebfa1e0689e0f6832a1f294cca5f","abstract_canon_sha256":"1e6be45f9a626f63b02e6d1a7e4c356873e4884e8efc2bc0b4646108d68cd346"},"schema_version":"1.0"},"canonical_sha256":"16dd8a4ee8c47b2510481f3f6033112889997e04d3c501b27135e7ca2dbc5632","source":{"kind":"arxiv","id":"1707.05044","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.05044","created_at":"2026-05-18T00:40:11Z"},{"alias_kind":"arxiv_version","alias_value":"1707.05044v1","created_at":"2026-05-18T00:40:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.05044","created_at":"2026-05-18T00:40:11Z"},{"alias_kind":"pith_short_12","alias_value":"C3OYUTXIYR5S","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"C3OYUTXIYR5SKECI","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"C3OYUTXI","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:C3OYUTXIYR5SKECID47WAMYRFC","target":"record","payload":{"canonical_record":{"source":{"id":"1707.05044","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-07-17T08:47:12Z","cross_cats_sorted":[],"title_canon_sha256":"2448f2baaca86d41d66c5c6efe26c30f0bc7ebfa1e0689e0f6832a1f294cca5f","abstract_canon_sha256":"1e6be45f9a626f63b02e6d1a7e4c356873e4884e8efc2bc0b4646108d68cd346"},"schema_version":"1.0"},"canonical_sha256":"16dd8a4ee8c47b2510481f3f6033112889997e04d3c501b27135e7ca2dbc5632","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:11.506759Z","signature_b64":"Y4zOPAzE5+bhTer31JafC5o6pNNZiX5Y3cyKvh85AYSHI9xXWPIvHhvxXj8aMTKNL8QJhMDrbIlWBEOm9aOUCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16dd8a4ee8c47b2510481f3f6033112889997e04d3c501b27135e7ca2dbc5632","last_reissued_at":"2026-05-18T00:40:11.506296Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:11.506296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.05044","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":"2026-05-18T00:40:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tov2U9XYjBpgl7FYLUWVwVQHjcJ8eJFGyYotX+Xiin2ZOTfZl4aBEuiVTeMUhNoTkVqI7iocAdYp42k5WeX7Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T10:19:06.057654Z"},"content_sha256":"076d105393a6aae730265735d6dc4152696b5bdc28e5c8e480092b6d76e381c5","schema_version":"1.0","event_id":"sha256:076d105393a6aae730265735d6dc4152696b5bdc28e5c8e480092b6d76e381c5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:C3OYUTXIYR5SKECID47WAMYRFC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Economic MPC of Nonlinear Systems with Non-Monotonic Lyapunov Functions and Its Application to HVAC Control","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"Guoqiang Hu, Zheming Wang","submitted_at":"2017-07-17T08:47:12Z","abstract_excerpt":"This paper proposes a Lyapunov-based economic MPC scheme for nonlinear sytems with non-monotonic Lyapunov functions. Relaxed Lyapunov-based constraints are used in the MPC formulation to improve the economic performance. These constraints will enforce a Lyapunov decrease after every few steps. Recursive feasibility and asymptotical convergence to the steady state can be achieved using Lyapunov-like stability analysis. The proposed economic MPC can be applied to minimize energy consumption in HVAC control of commercial buildings. The Lyapunov-based constraints in the online MPC problem enable t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05044","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":"2026-05-18T00:40:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ONfOUfJAWvjjKdfaPl80kie8hvFAlKWwxiiVYuo8k8h/m28Yi1K0ghuogI9HZPbiePNTPhr8ACwTmbgEuNvfBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T10:19:06.057997Z"},"content_sha256":"ce29fcca5fec8ea20d21053723f806492fc97cb014da165c14de3ac774f7e267","schema_version":"1.0","event_id":"sha256:ce29fcca5fec8ea20d21053723f806492fc97cb014da165c14de3ac774f7e267"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C3OYUTXIYR5SKECID47WAMYRFC/bundle.json","state_url":"https://pith.science/pith/C3OYUTXIYR5SKECID47WAMYRFC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C3OYUTXIYR5SKECID47WAMYRFC/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":"2026-06-11T10:19:06Z","links":{"resolver":"https://pith.science/pith/C3OYUTXIYR5SKECID47WAMYRFC","bundle":"https://pith.science/pith/C3OYUTXIYR5SKECID47WAMYRFC/bundle.json","state":"https://pith.science/pith/C3OYUTXIYR5SKECID47WAMYRFC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C3OYUTXIYR5SKECID47WAMYRFC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:C3OYUTXIYR5SKECID47WAMYRFC","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":"1e6be45f9a626f63b02e6d1a7e4c356873e4884e8efc2bc0b4646108d68cd346","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-07-17T08:47:12Z","title_canon_sha256":"2448f2baaca86d41d66c5c6efe26c30f0bc7ebfa1e0689e0f6832a1f294cca5f"},"schema_version":"1.0","source":{"id":"1707.05044","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.05044","created_at":"2026-05-18T00:40:11Z"},{"alias_kind":"arxiv_version","alias_value":"1707.05044v1","created_at":"2026-05-18T00:40:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.05044","created_at":"2026-05-18T00:40:11Z"},{"alias_kind":"pith_short_12","alias_value":"C3OYUTXIYR5S","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"C3OYUTXIYR5SKECI","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"C3OYUTXI","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:ce29fcca5fec8ea20d21053723f806492fc97cb014da165c14de3ac774f7e267","target":"graph","created_at":"2026-05-18T00:40:11Z","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 proposes a Lyapunov-based economic MPC scheme for nonlinear sytems with non-monotonic Lyapunov functions. Relaxed Lyapunov-based constraints are used in the MPC formulation to improve the economic performance. These constraints will enforce a Lyapunov decrease after every few steps. Recursive feasibility and asymptotical convergence to the steady state can be achieved using Lyapunov-like stability analysis. The proposed economic MPC can be applied to minimize energy consumption in HVAC control of commercial buildings. The Lyapunov-based constraints in the online MPC problem enable t","authors_text":"Guoqiang Hu, Zheming Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-07-17T08:47:12Z","title":"Economic MPC of Nonlinear Systems with Non-Monotonic Lyapunov Functions and Its Application to HVAC Control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05044","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":"sha256:076d105393a6aae730265735d6dc4152696b5bdc28e5c8e480092b6d76e381c5","target":"record","created_at":"2026-05-18T00:40:11Z","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":"1e6be45f9a626f63b02e6d1a7e4c356873e4884e8efc2bc0b4646108d68cd346","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-07-17T08:47:12Z","title_canon_sha256":"2448f2baaca86d41d66c5c6efe26c30f0bc7ebfa1e0689e0f6832a1f294cca5f"},"schema_version":"1.0","source":{"id":"1707.05044","kind":"arxiv","version":1}},"canonical_sha256":"16dd8a4ee8c47b2510481f3f6033112889997e04d3c501b27135e7ca2dbc5632","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16dd8a4ee8c47b2510481f3f6033112889997e04d3c501b27135e7ca2dbc5632","first_computed_at":"2026-05-18T00:40:11.506296Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:11.506296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y4zOPAzE5+bhTer31JafC5o6pNNZiX5Y3cyKvh85AYSHI9xXWPIvHhvxXj8aMTKNL8QJhMDrbIlWBEOm9aOUCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:11.506759Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.05044","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:076d105393a6aae730265735d6dc4152696b5bdc28e5c8e480092b6d76e381c5","sha256:ce29fcca5fec8ea20d21053723f806492fc97cb014da165c14de3ac774f7e267"],"state_sha256":"7ae7817d52c97775b0368aec4a9385ce89e87aae1abeb7d191a3409eaf982396"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3rHIHT1O8RBSERKJ4LQq+KxHNcNnGazjlfIpabivaoIkjcUfZtv2ceix7zRoO7O5qJDd0Ea+RowN2kYvIun9AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T10:19:06.060408Z","bundle_sha256":"0b17ae7ad1d4bf0ee8d7cb0329ab70da0830150302a1e1b8c85d611b745d14fd"}}