{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:HIUJXQBE4MKOG2TNBPVSGJTX7B","short_pith_number":"pith:HIUJXQBE","canonical_record":{"source":{"id":"1803.06549","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-17T18:24:19Z","cross_cats_sorted":[],"title_canon_sha256":"0c795da1d0c5f584df8e8517775b01b8510b1353aef29fdb610b03815f54ea82","abstract_canon_sha256":"0bd9780fb73fbc1a13b9444578a0c10e1c829e171190e6564e0f6afab3230aff"},"schema_version":"1.0"},"canonical_sha256":"3a289bc024e314e36a6d0beb232677f8712701318e805c448b327ac18c74680f","source":{"kind":"arxiv","id":"1803.06549","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.06549","created_at":"2026-05-18T00:20:45Z"},{"alias_kind":"arxiv_version","alias_value":"1803.06549v1","created_at":"2026-05-18T00:20:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.06549","created_at":"2026-05-18T00:20:45Z"},{"alias_kind":"pith_short_12","alias_value":"HIUJXQBE4MKO","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HIUJXQBE4MKOG2TN","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HIUJXQBE","created_at":"2026-05-18T12:32:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:HIUJXQBE4MKOG2TNBPVSGJTX7B","target":"record","payload":{"canonical_record":{"source":{"id":"1803.06549","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-17T18:24:19Z","cross_cats_sorted":[],"title_canon_sha256":"0c795da1d0c5f584df8e8517775b01b8510b1353aef29fdb610b03815f54ea82","abstract_canon_sha256":"0bd9780fb73fbc1a13b9444578a0c10e1c829e171190e6564e0f6afab3230aff"},"schema_version":"1.0"},"canonical_sha256":"3a289bc024e314e36a6d0beb232677f8712701318e805c448b327ac18c74680f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:45.638333Z","signature_b64":"/bvKCN3tJlsccPy8vV+eXD1rCRYmzZv48bOPzVB45Mgn9zulpvtyVfhI4RoqiCDRTcaqSlPLZYGz+n7LnYcrAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a289bc024e314e36a6d0beb232677f8712701318e805c448b327ac18c74680f","last_reissued_at":"2026-05-18T00:20:45.637922Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:45.637922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.06549","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":"2026-05-18T00:20:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zLkt8Qi1O2yqOay0e2AXogvhxfneM+FHqVoUB3OQ4Kx0owykqbn9UkuwumWOtuMBaLqVEcMHnFBdOQyFBzwZAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:10:14.656358Z"},"content_sha256":"c393a96762185eb936ea30c3ac2a823dd903df9737bb9e28553ee185cfb49dcb","schema_version":"1.0","event_id":"sha256:c393a96762185eb936ea30c3ac2a823dd903df9737bb9e28553ee185cfb49dcb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:HIUJXQBE4MKOG2TNBPVSGJTX7B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Michael L. Overton, Peter Benner, Tim Mitchell","submitted_at":"2018-03-17T18:24:19Z","abstract_excerpt":"We consider low-order controller design for large-scale linear time-invariant dynamical systems with inputs and outputs. Model order reduction is a popular technique, but controllers designed for reduced-order models may result in unstable closed-loop plants when applied to the full-order system. We introduce a new method to design a fixed-order controller by minimizing the $L_\\infty$ norm of a reduced-order closed-loop transfer matrix function subject to stability constraints on the closed-loop systems for both the reduced-order and the full-order models. Since the optimization objective and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.06549","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":"2026-05-18T00:20:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OgLVNY8oadFUmoucrrQ3R+JUzgMzscm5HwDGPhQzIpZWX1m1MnFaAtU4HwG7+CoRYzKXoXPpYBPfBtrKhKJdCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:10:14.656955Z"},"content_sha256":"c3efa7e4e25d048a465099c1d9fdc5993be44f8dd1bb2a6c71072952cfc505ad","schema_version":"1.0","event_id":"sha256:c3efa7e4e25d048a465099c1d9fdc5993be44f8dd1bb2a6c71072952cfc505ad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HIUJXQBE4MKOG2TNBPVSGJTX7B/bundle.json","state_url":"https://pith.science/pith/HIUJXQBE4MKOG2TNBPVSGJTX7B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HIUJXQBE4MKOG2TNBPVSGJTX7B/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":"2026-06-04T06:10:14Z","links":{"resolver":"https://pith.science/pith/HIUJXQBE4MKOG2TNBPVSGJTX7B","bundle":"https://pith.science/pith/HIUJXQBE4MKOG2TNBPVSGJTX7B/bundle.json","state":"https://pith.science/pith/HIUJXQBE4MKOG2TNBPVSGJTX7B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HIUJXQBE4MKOG2TNBPVSGJTX7B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:HIUJXQBE4MKOG2TNBPVSGJTX7B","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":"0bd9780fb73fbc1a13b9444578a0c10e1c829e171190e6564e0f6afab3230aff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-17T18:24:19Z","title_canon_sha256":"0c795da1d0c5f584df8e8517775b01b8510b1353aef29fdb610b03815f54ea82"},"schema_version":"1.0","source":{"id":"1803.06549","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.06549","created_at":"2026-05-18T00:20:45Z"},{"alias_kind":"arxiv_version","alias_value":"1803.06549v1","created_at":"2026-05-18T00:20:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.06549","created_at":"2026-05-18T00:20:45Z"},{"alias_kind":"pith_short_12","alias_value":"HIUJXQBE4MKO","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HIUJXQBE4MKOG2TN","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HIUJXQBE","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:c3efa7e4e25d048a465099c1d9fdc5993be44f8dd1bb2a6c71072952cfc505ad","target":"graph","created_at":"2026-05-18T00:20:45Z","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 consider low-order controller design for large-scale linear time-invariant dynamical systems with inputs and outputs. Model order reduction is a popular technique, but controllers designed for reduced-order models may result in unstable closed-loop plants when applied to the full-order system. We introduce a new method to design a fixed-order controller by minimizing the $L_\\infty$ norm of a reduced-order closed-loop transfer matrix function subject to stability constraints on the closed-loop systems for both the reduced-order and the full-order models. Since the optimization objective and ","authors_text":"Michael L. Overton, Peter Benner, Tim Mitchell","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-17T18:24:19Z","title":"Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.06549","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:c393a96762185eb936ea30c3ac2a823dd903df9737bb9e28553ee185cfb49dcb","target":"record","created_at":"2026-05-18T00:20:45Z","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":"0bd9780fb73fbc1a13b9444578a0c10e1c829e171190e6564e0f6afab3230aff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-17T18:24:19Z","title_canon_sha256":"0c795da1d0c5f584df8e8517775b01b8510b1353aef29fdb610b03815f54ea82"},"schema_version":"1.0","source":{"id":"1803.06549","kind":"arxiv","version":1}},"canonical_sha256":"3a289bc024e314e36a6d0beb232677f8712701318e805c448b327ac18c74680f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a289bc024e314e36a6d0beb232677f8712701318e805c448b327ac18c74680f","first_computed_at":"2026-05-18T00:20:45.637922Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:45.637922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/bvKCN3tJlsccPy8vV+eXD1rCRYmzZv48bOPzVB45Mgn9zulpvtyVfhI4RoqiCDRTcaqSlPLZYGz+n7LnYcrAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:45.638333Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.06549","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c393a96762185eb936ea30c3ac2a823dd903df9737bb9e28553ee185cfb49dcb","sha256:c3efa7e4e25d048a465099c1d9fdc5993be44f8dd1bb2a6c71072952cfc505ad"],"state_sha256":"727ad421a2ba3e0fe1d02fd7b0128d8887b01f7d0e963f09497c11037f4f353c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DOvhJAl2kAVL7h54RfE6IFQf30hsn3vMGZ3AVHXiuDX9Yf2oV12wIx0I/iFNru8U3lpuNCzatMp+0leWlTM6AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T06:10:14.660058Z","bundle_sha256":"879a15cc9daaddc395e48fa570f51c49a5dda961b7d8a6a9ed94f7141cf25be1"}}