{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:ZZKHTZLHRAJGRWQLNYJEFH4KRG","short_pith_number":"pith:ZZKHTZLH","schema_version":"1.0","canonical_sha256":"ce5479e567881268da0b6e12429f8a899c9396a83c4344f38fd0508e76623ad3","source":{"kind":"arxiv","id":"2106.04183","version":1},"attestation_state":"computed","paper":{"title":"Closed-form H-infinity Optimal Control for a Class of Infinite-Dimensional Systems","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Anders Rantzer, Carolina Bergeling, Kirsten A. Morris","submitted_at":"2021-06-08T08:45:22Z","abstract_excerpt":"H-infinity optimal control and estimation are addressed for a class of systems governed by partial differential equations with bounded input and output operators. Diffusion equations are an important example in this class. Explicit formulas for the optimal state feedback controller as well as the optimal state estimator are given. Unlike traditional methods for H-infinity synthesis, no iteration is needed to obtain the optimal solution. Moreover, the optimal performance for both the state feedback and state estimation problems are explicitly calculated. This is shown to be useful for problems "},"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":"2106.04183","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2021-06-08T08:45:22Z","cross_cats_sorted":[],"title_canon_sha256":"e98836e64481404cb5efbbfe635185193e1125e8075d69527f64095c76dc7793","abstract_canon_sha256":"95ae31eeb1e5eac118818f0081085b132d8ee8a888344b8d770f396598afefb3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:47:13.010172Z","signature_b64":"YKdCQTNIvoRqpPHgE7+z6CoEcE38n07BO7vNM+jhd2CB8SSNF/9ICP3TZkeA/iEWOZWVrLBmNKN8P9XHzSIwDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ce5479e567881268da0b6e12429f8a899c9396a83c4344f38fd0508e76623ad3","last_reissued_at":"2026-07-05T02:47:13.009782Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:47:13.009782Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Closed-form H-infinity Optimal Control for a Class of Infinite-Dimensional Systems","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Anders Rantzer, Carolina Bergeling, Kirsten A. Morris","submitted_at":"2021-06-08T08:45:22Z","abstract_excerpt":"H-infinity optimal control and estimation are addressed for a class of systems governed by partial differential equations with bounded input and output operators. Diffusion equations are an important example in this class. Explicit formulas for the optimal state feedback controller as well as the optimal state estimator are given. Unlike traditional methods for H-infinity synthesis, no iteration is needed to obtain the optimal solution. Moreover, the optimal performance for both the state feedback and state estimation problems are explicitly calculated. This is shown to be useful for problems "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.04183","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2106.04183/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":"2106.04183","created_at":"2026-07-05T02:47:13.009835+00:00"},{"alias_kind":"arxiv_version","alias_value":"2106.04183v1","created_at":"2026-07-05T02:47:13.009835+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.04183","created_at":"2026-07-05T02:47:13.009835+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZZKHTZLHRAJG","created_at":"2026-07-05T02:47:13.009835+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZZKHTZLHRAJGRWQL","created_at":"2026-07-05T02:47:13.009835+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZZKHTZLH","created_at":"2026-07-05T02:47:13.009835+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/ZZKHTZLHRAJGRWQLNYJEFH4KRG","json":"https://pith.science/pith/ZZKHTZLHRAJGRWQLNYJEFH4KRG.json","graph_json":"https://pith.science/api/pith-number/ZZKHTZLHRAJGRWQLNYJEFH4KRG/graph.json","events_json":"https://pith.science/api/pith-number/ZZKHTZLHRAJGRWQLNYJEFH4KRG/events.json","paper":"https://pith.science/paper/ZZKHTZLH"},"agent_actions":{"view_html":"https://pith.science/pith/ZZKHTZLHRAJGRWQLNYJEFH4KRG","download_json":"https://pith.science/pith/ZZKHTZLHRAJGRWQLNYJEFH4KRG.json","view_paper":"https://pith.science/paper/ZZKHTZLH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2106.04183&json=true","fetch_graph":"https://pith.science/api/pith-number/ZZKHTZLHRAJGRWQLNYJEFH4KRG/graph.json","fetch_events":"https://pith.science/api/pith-number/ZZKHTZLHRAJGRWQLNYJEFH4KRG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZZKHTZLHRAJGRWQLNYJEFH4KRG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZZKHTZLHRAJGRWQLNYJEFH4KRG/action/storage_attestation","attest_author":"https://pith.science/pith/ZZKHTZLHRAJGRWQLNYJEFH4KRG/action/author_attestation","sign_citation":"https://pith.science/pith/ZZKHTZLHRAJGRWQLNYJEFH4KRG/action/citation_signature","submit_replication":"https://pith.science/pith/ZZKHTZLHRAJGRWQLNYJEFH4KRG/action/replication_record"}},"created_at":"2026-07-05T02:47:13.009835+00:00","updated_at":"2026-07-05T02:47:13.009835+00:00"}