{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:CPU3FKFNO7YBVFPWJJ2ZH5VE6B","short_pith_number":"pith:CPU3FKFN","schema_version":"1.0","canonical_sha256":"13e9b2a8ad77f01a95f64a7593f6a4f05bd51afe3c75f5700dad8d3d52870e23","source":{"kind":"arxiv","id":"1611.10026","version":1},"attestation_state":"computed","paper":{"title":"A structural approach to state-to-output decoupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Emanuele Garone, Fabrizio Padula, Lorenzo Ntogramatzidis","submitted_at":"2016-11-30T07:08:37Z","abstract_excerpt":"In this paper, we address a general eigenstructure assignment problem where the objective is to distribute the closed-loop modes over the components of the system outputs in such a way that, if a certain mode appears in a given output, it is unobservable from any of the other output components. By linking classical geometric control results with the theory of combinatorics, we provide necessary and sufficient conditions for the solvability of this problem, herein referred to as state-to-output decoupling, under very mild assumptions. We propose solvability conditions expressed in terms of the "},"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":"1611.10026","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-11-30T07:08:37Z","cross_cats_sorted":[],"title_canon_sha256":"67400ff06ec4d0a033bfc970b8748bf35db82a8e4f054428e93be6a44b1d5ef5","abstract_canon_sha256":"7bbef21964589d7126dc9aa3df751cb9e0c24d8cbad036b0936dfa5b4f000472"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:11.357671Z","signature_b64":"NtnfBDQS6qAucxJd4uwONgU1n+XZL5l7UO0qozcr14KZe9OFmS4zaS3MDnZT5s+dgZ9z0b0HaaeBvvaciyuYAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13e9b2a8ad77f01a95f64a7593f6a4f05bd51afe3c75f5700dad8d3d52870e23","last_reissued_at":"2026-05-18T00:56:11.357238Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:11.357238Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A structural approach to state-to-output decoupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Emanuele Garone, Fabrizio Padula, Lorenzo Ntogramatzidis","submitted_at":"2016-11-30T07:08:37Z","abstract_excerpt":"In this paper, we address a general eigenstructure assignment problem where the objective is to distribute the closed-loop modes over the components of the system outputs in such a way that, if a certain mode appears in a given output, it is unobservable from any of the other output components. By linking classical geometric control results with the theory of combinatorics, we provide necessary and sufficient conditions for the solvability of this problem, herein referred to as state-to-output decoupling, under very mild assumptions. We propose solvability conditions expressed in terms of the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.10026","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1611.10026","created_at":"2026-05-18T00:56:11.357309+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.10026v1","created_at":"2026-05-18T00:56:11.357309+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.10026","created_at":"2026-05-18T00:56:11.357309+00:00"},{"alias_kind":"pith_short_12","alias_value":"CPU3FKFNO7YB","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"CPU3FKFNO7YBVFPW","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"CPU3FKFN","created_at":"2026-05-18T12:30:09.641336+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/CPU3FKFNO7YBVFPWJJ2ZH5VE6B","json":"https://pith.science/pith/CPU3FKFNO7YBVFPWJJ2ZH5VE6B.json","graph_json":"https://pith.science/api/pith-number/CPU3FKFNO7YBVFPWJJ2ZH5VE6B/graph.json","events_json":"https://pith.science/api/pith-number/CPU3FKFNO7YBVFPWJJ2ZH5VE6B/events.json","paper":"https://pith.science/paper/CPU3FKFN"},"agent_actions":{"view_html":"https://pith.science/pith/CPU3FKFNO7YBVFPWJJ2ZH5VE6B","download_json":"https://pith.science/pith/CPU3FKFNO7YBVFPWJJ2ZH5VE6B.json","view_paper":"https://pith.science/paper/CPU3FKFN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.10026&json=true","fetch_graph":"https://pith.science/api/pith-number/CPU3FKFNO7YBVFPWJJ2ZH5VE6B/graph.json","fetch_events":"https://pith.science/api/pith-number/CPU3FKFNO7YBVFPWJJ2ZH5VE6B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CPU3FKFNO7YBVFPWJJ2ZH5VE6B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CPU3FKFNO7YBVFPWJJ2ZH5VE6B/action/storage_attestation","attest_author":"https://pith.science/pith/CPU3FKFNO7YBVFPWJJ2ZH5VE6B/action/author_attestation","sign_citation":"https://pith.science/pith/CPU3FKFNO7YBVFPWJJ2ZH5VE6B/action/citation_signature","submit_replication":"https://pith.science/pith/CPU3FKFNO7YBVFPWJJ2ZH5VE6B/action/replication_record"}},"created_at":"2026-05-18T00:56:11.357309+00:00","updated_at":"2026-05-18T00:56:11.357309+00:00"}