{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:H5EEL7DM2W4BGGET6JNWYNKPVH","short_pith_number":"pith:H5EEL7DM","schema_version":"1.0","canonical_sha256":"3f4845fc6cd5b8131893f25b6c354fa9dd8d18650a6e8513a3c56b4680af823c","source":{"kind":"arxiv","id":"1609.06959","version":1},"attestation_state":"computed","paper":{"title":"Iterative observer-based state and parameter estimation for linear systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Atte Aalto","submitted_at":"2016-09-22T13:16:19Z","abstract_excerpt":"We propose an iterative method for joint state and parameter estimation using measurements on a time interval [0,T] for systems that are backward output stabilizable. Since this time interval is fixed, errors in initial state may have a big impact on the parameter estimate. We propose to use the back and forth nudging (BFN) method for estimating the system's initial state and a Gauss--Newton step between BFN iterations for estimating the system parameters. Taking advantage of results on the optimality of the BFN method, we show that for systems with skew-adjoint generators, the initial state a"},"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":"1609.06959","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-09-22T13:16:19Z","cross_cats_sorted":[],"title_canon_sha256":"42e91b0227f2f48d0ea11b8a89554159c66ddc601eb8c1143c03c733960bb7a6","abstract_canon_sha256":"0d1d32135738bc7efa5eb253b084f1383447c9475030051e87efe9e9bcd55d88"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:04.744870Z","signature_b64":"cvpyD3U5BN7F6dKmYV8/tJrAi5AF/Ts6kY6bjSnAQA5bl/Rbdc8QS1Bs5Ca3GD7GT0p/TrQVvBBbfQpQYKMsBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f4845fc6cd5b8131893f25b6c354fa9dd8d18650a6e8513a3c56b4680af823c","last_reissued_at":"2026-05-18T01:04:04.744245Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:04.744245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Iterative observer-based state and parameter estimation for linear systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Atte Aalto","submitted_at":"2016-09-22T13:16:19Z","abstract_excerpt":"We propose an iterative method for joint state and parameter estimation using measurements on a time interval [0,T] for systems that are backward output stabilizable. Since this time interval is fixed, errors in initial state may have a big impact on the parameter estimate. We propose to use the back and forth nudging (BFN) method for estimating the system's initial state and a Gauss--Newton step between BFN iterations for estimating the system parameters. Taking advantage of results on the optimality of the BFN method, we show that for systems with skew-adjoint generators, the initial state a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.06959","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":"1609.06959","created_at":"2026-05-18T01:04:04.744356+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.06959v1","created_at":"2026-05-18T01:04:04.744356+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.06959","created_at":"2026-05-18T01:04:04.744356+00:00"},{"alias_kind":"pith_short_12","alias_value":"H5EEL7DM2W4B","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"H5EEL7DM2W4BGGET","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"H5EEL7DM","created_at":"2026-05-18T12:30:19.053100+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/H5EEL7DM2W4BGGET6JNWYNKPVH","json":"https://pith.science/pith/H5EEL7DM2W4BGGET6JNWYNKPVH.json","graph_json":"https://pith.science/api/pith-number/H5EEL7DM2W4BGGET6JNWYNKPVH/graph.json","events_json":"https://pith.science/api/pith-number/H5EEL7DM2W4BGGET6JNWYNKPVH/events.json","paper":"https://pith.science/paper/H5EEL7DM"},"agent_actions":{"view_html":"https://pith.science/pith/H5EEL7DM2W4BGGET6JNWYNKPVH","download_json":"https://pith.science/pith/H5EEL7DM2W4BGGET6JNWYNKPVH.json","view_paper":"https://pith.science/paper/H5EEL7DM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.06959&json=true","fetch_graph":"https://pith.science/api/pith-number/H5EEL7DM2W4BGGET6JNWYNKPVH/graph.json","fetch_events":"https://pith.science/api/pith-number/H5EEL7DM2W4BGGET6JNWYNKPVH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H5EEL7DM2W4BGGET6JNWYNKPVH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H5EEL7DM2W4BGGET6JNWYNKPVH/action/storage_attestation","attest_author":"https://pith.science/pith/H5EEL7DM2W4BGGET6JNWYNKPVH/action/author_attestation","sign_citation":"https://pith.science/pith/H5EEL7DM2W4BGGET6JNWYNKPVH/action/citation_signature","submit_replication":"https://pith.science/pith/H5EEL7DM2W4BGGET6JNWYNKPVH/action/replication_record"}},"created_at":"2026-05-18T01:04:04.744356+00:00","updated_at":"2026-05-18T01:04:04.744356+00:00"}