{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:NMASULXACLSWU5FXBVEKDAHPI2","short_pith_number":"pith:NMASULXA","schema_version":"1.0","canonical_sha256":"6b012a2ee012e56a74b70d48a180ef46a247f591691938c6f1ccbc1b029d0122","source":{"kind":"arxiv","id":"1711.07020","version":1},"attestation_state":"computed","paper":{"title":"Zero Dynamics for Port-Hamiltonian Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"math.AP","authors_text":"Birgit Jacob, Hans Zwart, Kirsten A. Morris","submitted_at":"2017-11-19T14:02:45Z","abstract_excerpt":"The zero dynamics of infinite-dimensional systems can be difficult to characterize. The zero dynamics of boundary control systems are particularly problematic. In this paper the zero dynamics of port-Hamiltonian systems are studied. A complete characterization of the zero dynamics for a port-Hamiltonian systems with invertible feedthrough as another port-Hamiltonian system on the same state space is given. It is shown that the zero dynamics for any port-Hamiltonian system with commensurate wave speeds are well-defined, and are also a port-Hamiltonian system. Examples include wave equations wit"},"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":"1711.07020","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-19T14:02:45Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"eabdd5ab8764f1c05f7f5104700896f198ab5b547e16abedeeed336a6c7ffe72","abstract_canon_sha256":"7935226a05be764b21c9886da62ee470eae98965bed66cf991ced82edea7a367"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:14.806573Z","signature_b64":"M6thIXzao8sXikxqnMcdg7nKQDWa6Hu/H8DWqMQxyozwuUuhJXDp4RwCqsBDMoNYPFPOEkfuVVv0TP3fUSOUAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b012a2ee012e56a74b70d48a180ef46a247f591691938c6f1ccbc1b029d0122","last_reissued_at":"2026-05-18T00:30:14.805874Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:14.805874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Zero Dynamics for Port-Hamiltonian Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"math.AP","authors_text":"Birgit Jacob, Hans Zwart, Kirsten A. Morris","submitted_at":"2017-11-19T14:02:45Z","abstract_excerpt":"The zero dynamics of infinite-dimensional systems can be difficult to characterize. The zero dynamics of boundary control systems are particularly problematic. In this paper the zero dynamics of port-Hamiltonian systems are studied. A complete characterization of the zero dynamics for a port-Hamiltonian systems with invertible feedthrough as another port-Hamiltonian system on the same state space is given. It is shown that the zero dynamics for any port-Hamiltonian system with commensurate wave speeds are well-defined, and are also a port-Hamiltonian system. Examples include wave equations wit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.07020","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":"1711.07020","created_at":"2026-05-18T00:30:14.805994+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.07020v1","created_at":"2026-05-18T00:30:14.805994+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.07020","created_at":"2026-05-18T00:30:14.805994+00:00"},{"alias_kind":"pith_short_12","alias_value":"NMASULXACLSW","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_16","alias_value":"NMASULXACLSWU5FX","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_8","alias_value":"NMASULXA","created_at":"2026-05-18T12:31:31.346846+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/NMASULXACLSWU5FXBVEKDAHPI2","json":"https://pith.science/pith/NMASULXACLSWU5FXBVEKDAHPI2.json","graph_json":"https://pith.science/api/pith-number/NMASULXACLSWU5FXBVEKDAHPI2/graph.json","events_json":"https://pith.science/api/pith-number/NMASULXACLSWU5FXBVEKDAHPI2/events.json","paper":"https://pith.science/paper/NMASULXA"},"agent_actions":{"view_html":"https://pith.science/pith/NMASULXACLSWU5FXBVEKDAHPI2","download_json":"https://pith.science/pith/NMASULXACLSWU5FXBVEKDAHPI2.json","view_paper":"https://pith.science/paper/NMASULXA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.07020&json=true","fetch_graph":"https://pith.science/api/pith-number/NMASULXACLSWU5FXBVEKDAHPI2/graph.json","fetch_events":"https://pith.science/api/pith-number/NMASULXACLSWU5FXBVEKDAHPI2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NMASULXACLSWU5FXBVEKDAHPI2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NMASULXACLSWU5FXBVEKDAHPI2/action/storage_attestation","attest_author":"https://pith.science/pith/NMASULXACLSWU5FXBVEKDAHPI2/action/author_attestation","sign_citation":"https://pith.science/pith/NMASULXACLSWU5FXBVEKDAHPI2/action/citation_signature","submit_replication":"https://pith.science/pith/NMASULXACLSWU5FXBVEKDAHPI2/action/replication_record"}},"created_at":"2026-05-18T00:30:14.805994+00:00","updated_at":"2026-05-18T00:30:14.805994+00:00"}