{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:QUOT2CVI3TXO6XLLGQSIWNSQG7","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":"11e3f44e4734ccd11a5a9548c80f1a091a114ea6769de640e4447e6cd2b8d476","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-02-22T18:22:59Z","title_canon_sha256":"0e86fb6cf63529f52cf644cdec2f7f67e951dbc3d60eed2036a7125a5cfbb386"},"schema_version":"1.0","source":{"id":"2002.10907","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.10907","created_at":"2026-07-05T00:43:49Z"},{"alias_kind":"arxiv_version","alias_value":"2002.10907v1","created_at":"2026-07-05T00:43:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.10907","created_at":"2026-07-05T00:43:49Z"},{"alias_kind":"pith_short_12","alias_value":"QUOT2CVI3TXO","created_at":"2026-07-05T00:43:49Z"},{"alias_kind":"pith_short_16","alias_value":"QUOT2CVI3TXO6XLL","created_at":"2026-07-05T00:43:49Z"},{"alias_kind":"pith_short_8","alias_value":"QUOT2CVI","created_at":"2026-07-05T00:43:49Z"}],"graph_snapshots":[{"event_id":"sha256:b22cc471b5bb215e01b146c28608545f2f620b334479b6d2d3ac9c54f07eacc4","target":"graph","created_at":"2026-07-05T00:43:49Z","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/2002.10907/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we present Lyapunov-based {\\color{black}time varying} controllers for {\\color{black}fast} stabilization of a perturbed chain of integrators with bounded uncertainties. We refer to such controllers as {\\color{black}time varying} higher order sliding mode controllers since they are designed for nonlinear Single-Input-Single-Output (SISO) systems with bounded uncertainties such that the uncertainty bounds are unknown. %{\\color{blue} OLD: Our main result states that, given any neighborhood $\\varepsilon$ of the origin, we determine a controller insuring, for every uncertainty bounds,","authors_text":"Hussein Obeid, Leonid Fridman, Mohamed Harmouche, Salah Laghrouche, Yacine Chitour","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-02-22T18:22:59Z","title":"A Lyapunov Approach to Barrier-Function Based Time-Varying Gains Higher Order Sliding Mode Controllers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.10907","kind":"arxiv","version":1},"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:ca5b0ac6819ce281e2fe82641ddc1e46c9253eb8dce625367add7376dec4e779","target":"record","created_at":"2026-07-05T00:43:49Z","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":"11e3f44e4734ccd11a5a9548c80f1a091a114ea6769de640e4447e6cd2b8d476","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-02-22T18:22:59Z","title_canon_sha256":"0e86fb6cf63529f52cf644cdec2f7f67e951dbc3d60eed2036a7125a5cfbb386"},"schema_version":"1.0","source":{"id":"2002.10907","kind":"arxiv","version":1}},"canonical_sha256":"851d3d0aa8dceeef5d6b34248b365037c783cbff312bc37f0ea5e6243484b52a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"851d3d0aa8dceeef5d6b34248b365037c783cbff312bc37f0ea5e6243484b52a","first_computed_at":"2026-07-05T00:43:49.585800Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:43:49.585800Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qHOH0m/8HhbfaSOrN5vYaBGPu6qgE7ZAYzz2zoYoPFPe0V/xERAwk8HFRzzsM7Q0buJBq4/swPmLJmd1YnmNDA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:43:49.586196Z","signed_message":"canonical_sha256_bytes"},"source_id":"2002.10907","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca5b0ac6819ce281e2fe82641ddc1e46c9253eb8dce625367add7376dec4e779","sha256:b22cc471b5bb215e01b146c28608545f2f620b334479b6d2d3ac9c54f07eacc4"],"state_sha256":"aa7f51d8f71a88b1ca97fdf4f622b6ae70b7c21346283339e4c2d59ae51724d6"}