{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:QCTXK46YHJQCRH7DK7TC3WWKFE","short_pith_number":"pith:QCTXK46Y","schema_version":"1.0","canonical_sha256":"80a77573d83a60289fe357e62ddaca290e39e1848465186f666dd56648cf2a45","source":{"kind":"arxiv","id":"1011.4237","version":2},"attestation_state":"computed","paper":{"title":"A variational and symplectic framework for model-free control: preliminary results","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.SY","math.OC"],"primary_cat":"eess.SY","authors_text":"Lo\\\"ic Michel","submitted_at":"2010-11-18T17:14:59Z","abstract_excerpt":"The model-free control approach is an advanced control law that requires few information about the process to control. Since its introduction in 2008, numerous applications have been successfully considered, highlighting attractive robustness properties towards tracking efficiency and disturbance rejection. In this work, a variational approach of the model-free control is proposed in order to extend its robustness capabilities. An adaptive formulation of the controller is proposed using the calculus of variations within a symplectic framework, that aims to consider the control law as an optimi"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1011.4237","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"eess.SY","submitted_at":"2010-11-18T17:14:59Z","cross_cats_sorted":["cs.SY","math.OC"],"title_canon_sha256":"dfc8c9e75f2424952c302d199fbb8ae6605ba00d64d31393b93e7d00907dea24","abstract_canon_sha256":"d45ba7f73186fb5ee9637c60333edee58d6d5f7d43f4e9276d044cec9594ded4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T23:06:43.884385Z","signature_b64":"T9H8nX0+5peEf7AYmvQkLp+tzsilCL0jJWNYLZFwbUH4yEJV7Sy044rKO6TScL0JETEFtML/f089/pSTZgdOAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80a77573d83a60289fe357e62ddaca290e39e1848465186f666dd56648cf2a45","last_reissued_at":"2026-06-03T23:06:43.883949Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T23:06:43.883949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A variational and symplectic framework for model-free control: preliminary results","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.SY","math.OC"],"primary_cat":"eess.SY","authors_text":"Lo\\\"ic Michel","submitted_at":"2010-11-18T17:14:59Z","abstract_excerpt":"The model-free control approach is an advanced control law that requires few information about the process to control. Since its introduction in 2008, numerous applications have been successfully considered, highlighting attractive robustness properties towards tracking efficiency and disturbance rejection. In this work, a variational approach of the model-free control is proposed in order to extend its robustness capabilities. An adaptive formulation of the controller is proposed using the calculus of variations within a symplectic framework, that aims to consider the control law as an optimi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4237","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1011.4237/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1011.4237","created_at":"2026-06-03T23:06:43.884009+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.4237v2","created_at":"2026-06-03T23:06:43.884009+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.4237","created_at":"2026-06-03T23:06:43.884009+00:00"},{"alias_kind":"pith_short_12","alias_value":"QCTXK46YHJQC","created_at":"2026-06-03T23:06:43.884009+00:00"},{"alias_kind":"pith_short_16","alias_value":"QCTXK46YHJQCRH7D","created_at":"2026-06-03T23:06:43.884009+00:00"},{"alias_kind":"pith_short_8","alias_value":"QCTXK46Y","created_at":"2026-06-03T23:06:43.884009+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QCTXK46YHJQCRH7DK7TC3WWKFE","json":"https://pith.science/pith/QCTXK46YHJQCRH7DK7TC3WWKFE.json","graph_json":"https://pith.science/api/pith-number/QCTXK46YHJQCRH7DK7TC3WWKFE/graph.json","events_json":"https://pith.science/api/pith-number/QCTXK46YHJQCRH7DK7TC3WWKFE/events.json","paper":"https://pith.science/paper/QCTXK46Y"},"agent_actions":{"view_html":"https://pith.science/pith/QCTXK46YHJQCRH7DK7TC3WWKFE","download_json":"https://pith.science/pith/QCTXK46YHJQCRH7DK7TC3WWKFE.json","view_paper":"https://pith.science/paper/QCTXK46Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.4237&json=true","fetch_graph":"https://pith.science/api/pith-number/QCTXK46YHJQCRH7DK7TC3WWKFE/graph.json","fetch_events":"https://pith.science/api/pith-number/QCTXK46YHJQCRH7DK7TC3WWKFE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QCTXK46YHJQCRH7DK7TC3WWKFE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QCTXK46YHJQCRH7DK7TC3WWKFE/action/storage_attestation","attest_author":"https://pith.science/pith/QCTXK46YHJQCRH7DK7TC3WWKFE/action/author_attestation","sign_citation":"https://pith.science/pith/QCTXK46YHJQCRH7DK7TC3WWKFE/action/citation_signature","submit_replication":"https://pith.science/pith/QCTXK46YHJQCRH7DK7TC3WWKFE/action/replication_record"}},"created_at":"2026-06-03T23:06:43.884009+00:00","updated_at":"2026-06-03T23:06:43.884009+00:00"}