{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:IYRU73GXOWBLHPG6NHUFYTN2P4","short_pith_number":"pith:IYRU73GX","canonical_record":{"source":{"id":"1705.00056","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-04-28T19:53:10Z","cross_cats_sorted":["cs.SY","eess.SY"],"title_canon_sha256":"9fb483b0d553165e0182e2237482f1acc46c304a1942506ee6070caa6410401a","abstract_canon_sha256":"354c430a5568fa870a461ae51c8a87e66d922849df2351747c30180c41ad9951"},"schema_version":"1.0"},"canonical_sha256":"46234fecd77582b3bcde69e85c4dba7f36dcb234ef09a3fd84b5228852c0c230","source":{"kind":"arxiv","id":"1705.00056","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.00056","created_at":"2026-06-04T18:10:46Z"},{"alias_kind":"arxiv_version","alias_value":"1705.00056v5","created_at":"2026-06-04T18:10:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00056","created_at":"2026-06-04T18:10:46Z"},{"alias_kind":"pith_short_12","alias_value":"IYRU73GXOWBL","created_at":"2026-06-04T18:10:46Z"},{"alias_kind":"pith_short_16","alias_value":"IYRU73GXOWBLHPG6","created_at":"2026-06-04T18:10:46Z"},{"alias_kind":"pith_short_8","alias_value":"IYRU73GX","created_at":"2026-06-04T18:10:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:IYRU73GXOWBLHPG6NHUFYTN2P4","target":"record","payload":{"canonical_record":{"source":{"id":"1705.00056","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-04-28T19:53:10Z","cross_cats_sorted":["cs.SY","eess.SY"],"title_canon_sha256":"9fb483b0d553165e0182e2237482f1acc46c304a1942506ee6070caa6410401a","abstract_canon_sha256":"354c430a5568fa870a461ae51c8a87e66d922849df2351747c30180c41ad9951"},"schema_version":"1.0"},"canonical_sha256":"46234fecd77582b3bcde69e85c4dba7f36dcb234ef09a3fd84b5228852c0c230","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T18:10:46.728015Z","signature_b64":"oHy4DH+pYW+7Wom6me2Dff384+yIYcQCsy10a3AuzKH0bgQDw77DbbHUCkcQtgSPj28OWLi0LPuGSBjboQmMDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46234fecd77582b3bcde69e85c4dba7f36dcb234ef09a3fd84b5228852c0c230","last_reissued_at":"2026-06-04T18:10:46.727563Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T18:10:46.727563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.00056","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-04T18:10:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6whMnAKAihPf+cGDnyKjyWSwgsRUdPStedGAhrdFKrTpK+Ea64/6F212by1NXXL2yE7neARn1ME8tdVXMGccAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:09:16.810827Z"},"content_sha256":"dce2a261eda64244f90c7cc4c1becde4753c70208e3371254ba8d28e78916f12","schema_version":"1.0","event_id":"sha256:dce2a261eda64244f90c7cc4c1becde4753c70208e3371254ba8d28e78916f12"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:IYRU73GXOWBLHPG6NHUFYTN2P4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability analysis and stabilization of LPV systems with jumps and (piecewise) differentiable parameters using continuous and sampled-data controllers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","eess.SY"],"primary_cat":"math.OC","authors_text":"Corentin Briat","submitted_at":"2017-04-28T19:53:10Z","abstract_excerpt":"Linear Parameter-Varying (LPV) systems with jumps and piecewise differentiable parameters is a class of hybrid LPV systems for which no tailored stability analysis and stabilization conditions have been obtained so far. We fill this gap here by proposing an approach based on a clock- and parameter-dependent Lyapunov function yielding stability conditions under both constant and minimum dwell-times. Interesting adaptations of the latter result consist of a minimum dwell-time stability condition for uncertain LPV systems and LPV switched impulsive systems. The minimum dwell-time stability condit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00056","kind":"arxiv","version":5},"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/1705.00056/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-04T18:10:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EEyXauTlxTlZO9x97kOmSaspa/YO4lxhtTogIn/zdM7/NZcoNU/VajOp/1eJc3VN6luJhFjicBR3r0hWCWOKCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:09:16.811200Z"},"content_sha256":"7ce48c11be5c3d613a58444b3c1e33619a414689d0235dc9ad3c5fda2b02f5e7","schema_version":"1.0","event_id":"sha256:7ce48c11be5c3d613a58444b3c1e33619a414689d0235dc9ad3c5fda2b02f5e7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IYRU73GXOWBLHPG6NHUFYTN2P4/bundle.json","state_url":"https://pith.science/pith/IYRU73GXOWBLHPG6NHUFYTN2P4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IYRU73GXOWBLHPG6NHUFYTN2P4/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T14:09:16Z","links":{"resolver":"https://pith.science/pith/IYRU73GXOWBLHPG6NHUFYTN2P4","bundle":"https://pith.science/pith/IYRU73GXOWBLHPG6NHUFYTN2P4/bundle.json","state":"https://pith.science/pith/IYRU73GXOWBLHPG6NHUFYTN2P4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IYRU73GXOWBLHPG6NHUFYTN2P4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IYRU73GXOWBLHPG6NHUFYTN2P4","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":"354c430a5568fa870a461ae51c8a87e66d922849df2351747c30180c41ad9951","cross_cats_sorted":["cs.SY","eess.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-04-28T19:53:10Z","title_canon_sha256":"9fb483b0d553165e0182e2237482f1acc46c304a1942506ee6070caa6410401a"},"schema_version":"1.0","source":{"id":"1705.00056","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.00056","created_at":"2026-06-04T18:10:46Z"},{"alias_kind":"arxiv_version","alias_value":"1705.00056v5","created_at":"2026-06-04T18:10:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00056","created_at":"2026-06-04T18:10:46Z"},{"alias_kind":"pith_short_12","alias_value":"IYRU73GXOWBL","created_at":"2026-06-04T18:10:46Z"},{"alias_kind":"pith_short_16","alias_value":"IYRU73GXOWBLHPG6","created_at":"2026-06-04T18:10:46Z"},{"alias_kind":"pith_short_8","alias_value":"IYRU73GX","created_at":"2026-06-04T18:10:46Z"}],"graph_snapshots":[{"event_id":"sha256:7ce48c11be5c3d613a58444b3c1e33619a414689d0235dc9ad3c5fda2b02f5e7","target":"graph","created_at":"2026-06-04T18:10:46Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1705.00056/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Linear Parameter-Varying (LPV) systems with jumps and piecewise differentiable parameters is a class of hybrid LPV systems for which no tailored stability analysis and stabilization conditions have been obtained so far. We fill this gap here by proposing an approach based on a clock- and parameter-dependent Lyapunov function yielding stability conditions under both constant and minimum dwell-times. Interesting adaptations of the latter result consist of a minimum dwell-time stability condition for uncertain LPV systems and LPV switched impulsive systems. The minimum dwell-time stability condit","authors_text":"Corentin Briat","cross_cats":["cs.SY","eess.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-04-28T19:53:10Z","title":"Stability analysis and stabilization of LPV systems with jumps and (piecewise) differentiable parameters using continuous and sampled-data controllers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00056","kind":"arxiv","version":5},"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:dce2a261eda64244f90c7cc4c1becde4753c70208e3371254ba8d28e78916f12","target":"record","created_at":"2026-06-04T18:10:46Z","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":"354c430a5568fa870a461ae51c8a87e66d922849df2351747c30180c41ad9951","cross_cats_sorted":["cs.SY","eess.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-04-28T19:53:10Z","title_canon_sha256":"9fb483b0d553165e0182e2237482f1acc46c304a1942506ee6070caa6410401a"},"schema_version":"1.0","source":{"id":"1705.00056","kind":"arxiv","version":5}},"canonical_sha256":"46234fecd77582b3bcde69e85c4dba7f36dcb234ef09a3fd84b5228852c0c230","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46234fecd77582b3bcde69e85c4dba7f36dcb234ef09a3fd84b5228852c0c230","first_computed_at":"2026-06-04T18:10:46.727563Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T18:10:46.727563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oHy4DH+pYW+7Wom6me2Dff384+yIYcQCsy10a3AuzKH0bgQDw77DbbHUCkcQtgSPj28OWLi0LPuGSBjboQmMDg==","signature_status":"signed_v1","signed_at":"2026-06-04T18:10:46.728015Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.00056","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dce2a261eda64244f90c7cc4c1becde4753c70208e3371254ba8d28e78916f12","sha256:7ce48c11be5c3d613a58444b3c1e33619a414689d0235dc9ad3c5fda2b02f5e7"],"state_sha256":"85d19a57e55fca0786c95c32befeb2d531ba94798582b6f56d07e003f6075b01"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HEmyWg0WNbJ2f+9gSpw3cvACNzSSEv43jqczpixY25jmotsfU0U0490IYbAotuEIqa0TPzc2OqxJoh2LfoUFAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T14:09:16.813188Z","bundle_sha256":"ad3dc0e8889c384022fb111f8ca2d10841b0ff0963e9268ecbb41582479f37f1"}}