{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WREOEHKW6YD47HN65HGPTTZMYQ","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":"b951aaa9105ad7c9d45c4748c9f657ae49b44263c6150ffee7c1d50179d301a4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-02-27T13:32:05Z","title_canon_sha256":"ac91170d8c72fae96539b37eb4ce1566a0a1ca1f209484d6775bb345ccbf1a9f"},"schema_version":"1.0","source":{"id":"1602.08588","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.08588","created_at":"2026-05-18T01:19:52Z"},{"alias_kind":"arxiv_version","alias_value":"1602.08588v1","created_at":"2026-05-18T01:19:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.08588","created_at":"2026-05-18T01:19:52Z"},{"alias_kind":"pith_short_12","alias_value":"WREOEHKW6YD4","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"WREOEHKW6YD47HN6","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"WREOEHKW","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:37f30dba6dfb5d88625924711b812bb94cf5ec455d0d839e2e4882344fe09636","target":"graph","created_at":"2026-05-18T01:19:52Z","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":"Schur-type methods in \\cite{Chu2} and \\cite{GCQX} solve the robust pole assignment problem by employing the departure from normality of the closed-loop system matrix as the measure of robustness. They work well generally when all poles to be assigned are simple. However, when some poles are close or even repeated, the eigenvalues of the computed closed-loop system matrix might be inaccurate. In this paper, we present a refined Schur method, which is able to deal with the case when some or all of the poles to be assigned are repeated. More importantly, the refined Schur method can still be appl","authors_text":"Jiang Qian, Shu-fang Xu, Yun-feng Cai, Zhen-Chen Guo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-02-27T13:32:05Z","title":"Refined Schur Method for Robust Pole Assignment with Repeated Poles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.08588","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":"sha256:10414c99c30f24711ca2cb7b25490b98fdf5427d19e2803f59f39eaffef74f36","target":"record","created_at":"2026-05-18T01:19:52Z","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":"b951aaa9105ad7c9d45c4748c9f657ae49b44263c6150ffee7c1d50179d301a4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-02-27T13:32:05Z","title_canon_sha256":"ac91170d8c72fae96539b37eb4ce1566a0a1ca1f209484d6775bb345ccbf1a9f"},"schema_version":"1.0","source":{"id":"1602.08588","kind":"arxiv","version":1}},"canonical_sha256":"b448e21d56f607cf9dbee9ccf9cf2cc415a7de7be0915da56656946062b9d7e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b448e21d56f607cf9dbee9ccf9cf2cc415a7de7be0915da56656946062b9d7e6","first_computed_at":"2026-05-18T01:19:52.446800Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:52.446800Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Oh5s6bh1vefqUYdxmq2+jCEU2507SvJs1zjj6d8cl3qR+LPdqNugEryyFXxpV6qD0EkOQYSYkI26F4aR0ddyBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:52.447435Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.08588","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:10414c99c30f24711ca2cb7b25490b98fdf5427d19e2803f59f39eaffef74f36","sha256:37f30dba6dfb5d88625924711b812bb94cf5ec455d0d839e2e4882344fe09636"],"state_sha256":"15c7794408813103176bf35cb44582793e141ad36b64d769f617b6fddc5d5491"}