{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:MLH6XYSUFTD3J6W2EJ7ZR6ET6J","short_pith_number":"pith:MLH6XYSU","schema_version":"1.0","canonical_sha256":"62cfebe2542cc7b4fada227f98f893f27527df1a43f94170a21e23f930c4c760","source":{"kind":"arxiv","id":"2002.03423","version":1},"attestation_state":"computed","paper":{"title":"On stability of linear dynamic systems with hysteresis feedback","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"eess.SY","authors_text":"Michael Ruderman","submitted_at":"2020-02-09T18:40:09Z","abstract_excerpt":"The stability of linear dynamic systems with hysteresis in feedback is considered. While the absolute stability for memoryless nonlinearities (known as Lure's problem) can be proved by the well-known circle criterion, the multivalued rate-independent hysteresis poses significant challenges for feedback systems, especially for proof of convergence to an equilibrium state correspondingly set. The dissipative behavior of clockwise input-output hysteresis is considered with two boundary cases of energy losses at reversal cycles. For upper boundary cases of maximal (parallelogram shape) hysteresis "},"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":"2002.03423","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2020-02-09T18:40:09Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"04a3e857601d5ea7301a92a0825a9b86364f9bd187a183353951d94526174ec5","abstract_canon_sha256":"a5e38ef4bc6e46e79922e948f3420361a2c8c6fa092f3c4dbf6f8b3bfcb2a20e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:39:22.060119Z","signature_b64":"MdJGZhUoU8MAzHuT3j2zjycyMrGfmcrd/A7k8i4zqMGue8Eh+vCzQz/QpeT5V7G2T6L/1mmTnEABSRZQPQpDAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62cfebe2542cc7b4fada227f98f893f27527df1a43f94170a21e23f930c4c760","last_reissued_at":"2026-07-05T00:39:22.059749Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:39:22.059749Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On stability of linear dynamic systems with hysteresis feedback","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"eess.SY","authors_text":"Michael Ruderman","submitted_at":"2020-02-09T18:40:09Z","abstract_excerpt":"The stability of linear dynamic systems with hysteresis in feedback is considered. While the absolute stability for memoryless nonlinearities (known as Lure's problem) can be proved by the well-known circle criterion, the multivalued rate-independent hysteresis poses significant challenges for feedback systems, especially for proof of convergence to an equilibrium state correspondingly set. The dissipative behavior of clockwise input-output hysteresis is considered with two boundary cases of energy losses at reversal cycles. For upper boundary cases of maximal (parallelogram shape) hysteresis "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.03423","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2002.03423/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2002.03423","created_at":"2026-07-05T00:39:22.059803+00:00"},{"alias_kind":"arxiv_version","alias_value":"2002.03423v1","created_at":"2026-07-05T00:39:22.059803+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.03423","created_at":"2026-07-05T00:39:22.059803+00:00"},{"alias_kind":"pith_short_12","alias_value":"MLH6XYSUFTD3","created_at":"2026-07-05T00:39:22.059803+00:00"},{"alias_kind":"pith_short_16","alias_value":"MLH6XYSUFTD3J6W2","created_at":"2026-07-05T00:39:22.059803+00:00"},{"alias_kind":"pith_short_8","alias_value":"MLH6XYSU","created_at":"2026-07-05T00:39:22.059803+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/MLH6XYSUFTD3J6W2EJ7ZR6ET6J","json":"https://pith.science/pith/MLH6XYSUFTD3J6W2EJ7ZR6ET6J.json","graph_json":"https://pith.science/api/pith-number/MLH6XYSUFTD3J6W2EJ7ZR6ET6J/graph.json","events_json":"https://pith.science/api/pith-number/MLH6XYSUFTD3J6W2EJ7ZR6ET6J/events.json","paper":"https://pith.science/paper/MLH6XYSU"},"agent_actions":{"view_html":"https://pith.science/pith/MLH6XYSUFTD3J6W2EJ7ZR6ET6J","download_json":"https://pith.science/pith/MLH6XYSUFTD3J6W2EJ7ZR6ET6J.json","view_paper":"https://pith.science/paper/MLH6XYSU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2002.03423&json=true","fetch_graph":"https://pith.science/api/pith-number/MLH6XYSUFTD3J6W2EJ7ZR6ET6J/graph.json","fetch_events":"https://pith.science/api/pith-number/MLH6XYSUFTD3J6W2EJ7ZR6ET6J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MLH6XYSUFTD3J6W2EJ7ZR6ET6J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MLH6XYSUFTD3J6W2EJ7ZR6ET6J/action/storage_attestation","attest_author":"https://pith.science/pith/MLH6XYSUFTD3J6W2EJ7ZR6ET6J/action/author_attestation","sign_citation":"https://pith.science/pith/MLH6XYSUFTD3J6W2EJ7ZR6ET6J/action/citation_signature","submit_replication":"https://pith.science/pith/MLH6XYSUFTD3J6W2EJ7ZR6ET6J/action/replication_record"}},"created_at":"2026-07-05T00:39:22.059803+00:00","updated_at":"2026-07-05T00:39:22.059803+00:00"}