{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:V5OWXRK2W3P756FHUXSDZXIEIH","short_pith_number":"pith:V5OWXRK2","canonical_record":{"source":{"id":"1707.02052","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-07-07T06:29:30Z","cross_cats_sorted":[],"title_canon_sha256":"798fa0ab41955baad8530e0316f5656c542cc8d67d0d6b8e4104c972fc52224a","abstract_canon_sha256":"193cad31b2e5b5a9bd28dcd341ba43f9f6cc724e828b672dcac21bbbb8dde5f0"},"schema_version":"1.0"},"canonical_sha256":"af5d6bc55ab6dffef8a7a5e43cdd0441ff8ad1cc675fe90c50be74100fe9d5ad","source":{"kind":"arxiv","id":"1707.02052","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.02052","created_at":"2026-05-18T00:27:57Z"},{"alias_kind":"arxiv_version","alias_value":"1707.02052v3","created_at":"2026-05-18T00:27:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.02052","created_at":"2026-05-18T00:27:57Z"},{"alias_kind":"pith_short_12","alias_value":"V5OWXRK2W3P7","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"V5OWXRK2W3P756FH","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"V5OWXRK2","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:V5OWXRK2W3P756FHUXSDZXIEIH","target":"record","payload":{"canonical_record":{"source":{"id":"1707.02052","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-07-07T06:29:30Z","cross_cats_sorted":[],"title_canon_sha256":"798fa0ab41955baad8530e0316f5656c542cc8d67d0d6b8e4104c972fc52224a","abstract_canon_sha256":"193cad31b2e5b5a9bd28dcd341ba43f9f6cc724e828b672dcac21bbbb8dde5f0"},"schema_version":"1.0"},"canonical_sha256":"af5d6bc55ab6dffef8a7a5e43cdd0441ff8ad1cc675fe90c50be74100fe9d5ad","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:57.232377Z","signature_b64":"IzzRRPROVLQYRnnrSOCPy/nlUH5GdAxpSUPB60N7uzDTVIp5qIg7oMcvZHvwfa251Lw34N4t6+j/yNGcLr61DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af5d6bc55ab6dffef8a7a5e43cdd0441ff8ad1cc675fe90c50be74100fe9d5ad","last_reissued_at":"2026-05-18T00:27:57.231720Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:57.231720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.02052","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:27:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d465FV0mYhMKrwJ6o0MgIpSEYTFzmnxIXYlAepJHFNy5ozsdr7lUDeQi3Z+ag3gqUfDyb5Xp9auUmeYjbjezDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:48:24.198044Z"},"content_sha256":"142b71d11ea4fe0a5b8b2b85bb45d58ce7cd2eb4304c834863bcf98bd64e445e","schema_version":"1.0","event_id":"sha256:142b71d11ea4fe0a5b8b2b85bb45d58ce7cd2eb4304c834863bcf98bd64e445e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:V5OWXRK2W3P756FHUXSDZXIEIH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Structured H-infinity control of infinite dimensional systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"D. Noll, P. Apkarian","submitted_at":"2017-07-07T06:29:30Z","abstract_excerpt":"We develop a novel frequency-based H-infinity control method for a large class of infinite-dimensional Linear-Time-Invariant systems in transfer function form. Major benefits of our approach is that reduction or identification techniques are not needed thereby avoiding possible distortions. It can exploit either transfer function models or input/output frequency response data when available. It computes simple practical controllers of any size and structure. We use a non-smooth trust-region method to compute arbitrarily structured locally optimal H-infinity controllers for a frequency sampled "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.02052","kind":"arxiv","version":3},"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":"2026-05-18T00:27:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T8j1hMdhef7tYSGlYzyxlOSIAzwdtCkXOesXoUsUNvNhhH5JG1wP8gRRTbO+LgSpL7kri0gW0bhmGmixAzDjAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:48:24.198787Z"},"content_sha256":"ee7ff3b01180f374e482f578de134fb38e4ac850769e39f4d6f1353e8d860098","schema_version":"1.0","event_id":"sha256:ee7ff3b01180f374e482f578de134fb38e4ac850769e39f4d6f1353e8d860098"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V5OWXRK2W3P756FHUXSDZXIEIH/bundle.json","state_url":"https://pith.science/pith/V5OWXRK2W3P756FHUXSDZXIEIH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V5OWXRK2W3P756FHUXSDZXIEIH/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":"2026-05-31T09:48:24Z","links":{"resolver":"https://pith.science/pith/V5OWXRK2W3P756FHUXSDZXIEIH","bundle":"https://pith.science/pith/V5OWXRK2W3P756FHUXSDZXIEIH/bundle.json","state":"https://pith.science/pith/V5OWXRK2W3P756FHUXSDZXIEIH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V5OWXRK2W3P756FHUXSDZXIEIH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:V5OWXRK2W3P756FHUXSDZXIEIH","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":"193cad31b2e5b5a9bd28dcd341ba43f9f6cc724e828b672dcac21bbbb8dde5f0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-07-07T06:29:30Z","title_canon_sha256":"798fa0ab41955baad8530e0316f5656c542cc8d67d0d6b8e4104c972fc52224a"},"schema_version":"1.0","source":{"id":"1707.02052","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.02052","created_at":"2026-05-18T00:27:57Z"},{"alias_kind":"arxiv_version","alias_value":"1707.02052v3","created_at":"2026-05-18T00:27:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.02052","created_at":"2026-05-18T00:27:57Z"},{"alias_kind":"pith_short_12","alias_value":"V5OWXRK2W3P7","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"V5OWXRK2W3P756FH","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"V5OWXRK2","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:ee7ff3b01180f374e482f578de134fb38e4ac850769e39f4d6f1353e8d860098","target":"graph","created_at":"2026-05-18T00:27:57Z","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":"We develop a novel frequency-based H-infinity control method for a large class of infinite-dimensional Linear-Time-Invariant systems in transfer function form. Major benefits of our approach is that reduction or identification techniques are not needed thereby avoiding possible distortions. It can exploit either transfer function models or input/output frequency response data when available. It computes simple practical controllers of any size and structure. We use a non-smooth trust-region method to compute arbitrarily structured locally optimal H-infinity controllers for a frequency sampled ","authors_text":"D. Noll, P. Apkarian","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-07-07T06:29:30Z","title":"Structured H-infinity control of infinite dimensional systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.02052","kind":"arxiv","version":3},"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":"sha256:142b71d11ea4fe0a5b8b2b85bb45d58ce7cd2eb4304c834863bcf98bd64e445e","target":"record","created_at":"2026-05-18T00:27:57Z","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":"193cad31b2e5b5a9bd28dcd341ba43f9f6cc724e828b672dcac21bbbb8dde5f0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-07-07T06:29:30Z","title_canon_sha256":"798fa0ab41955baad8530e0316f5656c542cc8d67d0d6b8e4104c972fc52224a"},"schema_version":"1.0","source":{"id":"1707.02052","kind":"arxiv","version":3}},"canonical_sha256":"af5d6bc55ab6dffef8a7a5e43cdd0441ff8ad1cc675fe90c50be74100fe9d5ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af5d6bc55ab6dffef8a7a5e43cdd0441ff8ad1cc675fe90c50be74100fe9d5ad","first_computed_at":"2026-05-18T00:27:57.231720Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:57.231720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IzzRRPROVLQYRnnrSOCPy/nlUH5GdAxpSUPB60N7uzDTVIp5qIg7oMcvZHvwfa251Lw34N4t6+j/yNGcLr61DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:57.232377Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.02052","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:142b71d11ea4fe0a5b8b2b85bb45d58ce7cd2eb4304c834863bcf98bd64e445e","sha256:ee7ff3b01180f374e482f578de134fb38e4ac850769e39f4d6f1353e8d860098"],"state_sha256":"d57edce8a3387ec3a976c150828081c6ac11946d1c8ec2711757ff4be3311fd0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M2TSCLNHQoLmL67eMYeK6H9LcaOwBvf6YLKUyLae6qIrLm15/4je/50NqNP2QJs6B+h5TcC0oDbArAFlqtoiCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T09:48:24.203820Z","bundle_sha256":"2777063dab57db691cef3c67a1627b6e2d35b02a2c8e71b0038bcf8fc6b641de"}}