{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:EIR6RETF7VZOSOY4MPJFU5AC4C","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":"b290412635286d8f0e35cbcddd17535099351ad200760315afd9e7120615dd2e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2009-03-31T18:32:35Z","title_canon_sha256":"5bbd33fee155d86527ca88e3f1d3e42b4018549cd4c19ea11a22e70e2f579180"},"schema_version":"1.0","source":{"id":"0903.5535","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.5535","created_at":"2026-05-18T03:10:56Z"},{"alias_kind":"arxiv_version","alias_value":"0903.5535v2","created_at":"2026-05-18T03:10:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.5535","created_at":"2026-05-18T03:10:56Z"},{"alias_kind":"pith_short_12","alias_value":"EIR6RETF7VZO","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"EIR6RETF7VZOSOY4","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"EIR6RETF","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:f0d514bb1ffffb4fa8201daf93568d5d9aa04303ae60398e66980b7af70cf531","target":"graph","created_at":"2026-05-18T03:10:56Z","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":"We demonstrate the use of a new, control-oriented notion of finite state approximation for a particular class of hybrid systems. Specifically, we consider the problem of designing a stabilizing binary output feedback switching controller for a pair of unstable homogeneous second order systems. The constructive approach presented in this note, in addition to yielding an explicit construction of a deterministic finite state approximate model of the hybrid plant, allows us to efficiently establish a useable upper bound on the quality of approximation, and leads to a discrete optimization problem ","authors_text":"Alexandre Megretski, Danielle C. Tarraf, Munther A. Dahleh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2009-03-31T18:32:35Z","title":"Finite Approximations of Switched Homogeneous Systems for Controller Synthesis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.5535","kind":"arxiv","version":2},"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:c77f23b6e5682a7f5b5f04608b61323465da1f1a3589957bf1436095398e0615","target":"record","created_at":"2026-05-18T03:10:56Z","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":"b290412635286d8f0e35cbcddd17535099351ad200760315afd9e7120615dd2e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2009-03-31T18:32:35Z","title_canon_sha256":"5bbd33fee155d86527ca88e3f1d3e42b4018549cd4c19ea11a22e70e2f579180"},"schema_version":"1.0","source":{"id":"0903.5535","kind":"arxiv","version":2}},"canonical_sha256":"2223e89265fd72e93b1c63d25a7402e0bd2ce1394e7522749436920041548ab1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2223e89265fd72e93b1c63d25a7402e0bd2ce1394e7522749436920041548ab1","first_computed_at":"2026-05-18T03:10:56.200638Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:56.200638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J7LMrzkRYkLJmdzywtC/6dvriLpFNmR6s09exLKlZsEpp3QmAN8tMcJTt7e/G4ocig8KfF2edoiuLSxD8PInBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:56.201421Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.5535","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c77f23b6e5682a7f5b5f04608b61323465da1f1a3589957bf1436095398e0615","sha256:f0d514bb1ffffb4fa8201daf93568d5d9aa04303ae60398e66980b7af70cf531"],"state_sha256":"73c349f2c609223e17178aa2c0add88698e795b7a29ed9a31fcd07566d1476fa"}