{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:QQ4CWBLOELB66Z3OFWPXW45SGA","short_pith_number":"pith:QQ4CWBLO","schema_version":"1.0","canonical_sha256":"84382b056e22c3ef676e2d9f7b73b2301e9ba79d94d1691ea00cc9e175c5bff2","source":{"kind":"arxiv","id":"1704.04009","version":2},"attestation_state":"computed","paper":{"title":"Structure-preserving model reduction for marginally stable LTI systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Kevin Carlberg, Liqian Peng","submitted_at":"2017-04-13T06:38:10Z","abstract_excerpt":"This work proposes a structure-preserving model reduction method for marginally stable linear time-invariant (LTI) systems. In contrast to Lyapunov-stability-based approaches---which ensure the poles of the reduced system remain in the open left-half plane---the proposed method preserves marginal stability by reducing the subsystem with poles on the imaginary axis in a manner that ensures those poles remain purely imaginary. In particular, the proposed method decomposes a marginally stable LTI system into (1) an asymptotically stable subsystem with eigenvalues in the open left-half plane and ("},"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":"1704.04009","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-04-13T06:38:10Z","cross_cats_sorted":[],"title_canon_sha256":"faa17172808b3b7dc9c0e69b0b21a456e548b9f61dfb20ce90d5b9fbaacb4eaa","abstract_canon_sha256":"e900d8a7b15b395d6e6761157333832747fea38c296c9be3dff1603a7b94bb10"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:00.165373Z","signature_b64":"UFX86DUN42c3fSqlcwbsk8t+ee1pj/pPB4H9srNTRLJpWLucC5R52u3dEdoMyZoW1PohqoQhA40pG5KJhZFHDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84382b056e22c3ef676e2d9f7b73b2301e9ba79d94d1691ea00cc9e175c5bff2","last_reissued_at":"2026-05-18T00:46:00.164580Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:00.164580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Structure-preserving model reduction for marginally stable LTI systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Kevin Carlberg, Liqian Peng","submitted_at":"2017-04-13T06:38:10Z","abstract_excerpt":"This work proposes a structure-preserving model reduction method for marginally stable linear time-invariant (LTI) systems. In contrast to Lyapunov-stability-based approaches---which ensure the poles of the reduced system remain in the open left-half plane---the proposed method preserves marginal stability by reducing the subsystem with poles on the imaginary axis in a manner that ensures those poles remain purely imaginary. In particular, the proposed method decomposes a marginally stable LTI system into (1) an asymptotically stable subsystem with eigenvalues in the open left-half plane and ("},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.04009","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":""},"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":"1704.04009","created_at":"2026-05-18T00:46:00.164708+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.04009v2","created_at":"2026-05-18T00:46:00.164708+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.04009","created_at":"2026-05-18T00:46:00.164708+00:00"},{"alias_kind":"pith_short_12","alias_value":"QQ4CWBLOELB6","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"QQ4CWBLOELB66Z3O","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"QQ4CWBLO","created_at":"2026-05-18T12:31:39.905425+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/QQ4CWBLOELB66Z3OFWPXW45SGA","json":"https://pith.science/pith/QQ4CWBLOELB66Z3OFWPXW45SGA.json","graph_json":"https://pith.science/api/pith-number/QQ4CWBLOELB66Z3OFWPXW45SGA/graph.json","events_json":"https://pith.science/api/pith-number/QQ4CWBLOELB66Z3OFWPXW45SGA/events.json","paper":"https://pith.science/paper/QQ4CWBLO"},"agent_actions":{"view_html":"https://pith.science/pith/QQ4CWBLOELB66Z3OFWPXW45SGA","download_json":"https://pith.science/pith/QQ4CWBLOELB66Z3OFWPXW45SGA.json","view_paper":"https://pith.science/paper/QQ4CWBLO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.04009&json=true","fetch_graph":"https://pith.science/api/pith-number/QQ4CWBLOELB66Z3OFWPXW45SGA/graph.json","fetch_events":"https://pith.science/api/pith-number/QQ4CWBLOELB66Z3OFWPXW45SGA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QQ4CWBLOELB66Z3OFWPXW45SGA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QQ4CWBLOELB66Z3OFWPXW45SGA/action/storage_attestation","attest_author":"https://pith.science/pith/QQ4CWBLOELB66Z3OFWPXW45SGA/action/author_attestation","sign_citation":"https://pith.science/pith/QQ4CWBLOELB66Z3OFWPXW45SGA/action/citation_signature","submit_replication":"https://pith.science/pith/QQ4CWBLOELB66Z3OFWPXW45SGA/action/replication_record"}},"created_at":"2026-05-18T00:46:00.164708+00:00","updated_at":"2026-05-18T00:46:00.164708+00:00"}