{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:QDYGH2ABJQHKYFRIEEFAJJ7YTR","short_pith_number":"pith:QDYGH2AB","schema_version":"1.0","canonical_sha256":"80f063e8014c0eac1628210a04a7f89c56683b253f3c66df7e9241d97afe01f8","source":{"kind":"arxiv","id":"1410.4535","version":1},"attestation_state":"computed","paper":{"title":"Stochastic Nonlinear Model Predictive Control with Efficient Sample Approximation of Chance Constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"math.OC","authors_text":"Ali Mesbah, Matthias Karl, Stefan Streif","submitted_at":"2014-10-16T19:08:52Z","abstract_excerpt":"This paper presents a stochastic model predictive control approach for nonlinear systems subject to time-invariant probabilistic uncertainties in model parameters and initial conditions. The stochastic optimal control problem entails a cost function in terms of expected values and higher moments of the states, and chance constraints that ensure probabilistic constraint satisfaction. The generalized polynomial chaos framework is used to propagate the time-invariant stochastic uncertainties through the nonlinear system dynamics, and to efficiently sample from the probability densities of the sta"},"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":"1410.4535","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-10-16T19:08:52Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"5725d8d7fda7074226897a460eb7771df7b0ea57ff0d5acc6e8ab8b745807e6e","abstract_canon_sha256":"a7c3f616924507b7a34cafa07d1fdf569cbaec980799a0610bf06755846588c2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:55.964710Z","signature_b64":"uug/4/NorcGx8EfoDQPLY4ez7MzAgDrMt76VC09/1szgJtIEdwBIF6ZYGZBA9SRYgIm/nsczExRshSyig+uVCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80f063e8014c0eac1628210a04a7f89c56683b253f3c66df7e9241d97afe01f8","last_reissued_at":"2026-05-18T02:39:55.964269Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:55.964269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stochastic Nonlinear Model Predictive Control with Efficient Sample Approximation of Chance Constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"math.OC","authors_text":"Ali Mesbah, Matthias Karl, Stefan Streif","submitted_at":"2014-10-16T19:08:52Z","abstract_excerpt":"This paper presents a stochastic model predictive control approach for nonlinear systems subject to time-invariant probabilistic uncertainties in model parameters and initial conditions. The stochastic optimal control problem entails a cost function in terms of expected values and higher moments of the states, and chance constraints that ensure probabilistic constraint satisfaction. The generalized polynomial chaos framework is used to propagate the time-invariant stochastic uncertainties through the nonlinear system dynamics, and to efficiently sample from the probability densities of the sta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.4535","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":"1410.4535","created_at":"2026-05-18T02:39:55.964336+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.4535v1","created_at":"2026-05-18T02:39:55.964336+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.4535","created_at":"2026-05-18T02:39:55.964336+00:00"},{"alias_kind":"pith_short_12","alias_value":"QDYGH2ABJQHK","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_16","alias_value":"QDYGH2ABJQHKYFRI","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_8","alias_value":"QDYGH2AB","created_at":"2026-05-18T12:28:43.426989+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/QDYGH2ABJQHKYFRIEEFAJJ7YTR","json":"https://pith.science/pith/QDYGH2ABJQHKYFRIEEFAJJ7YTR.json","graph_json":"https://pith.science/api/pith-number/QDYGH2ABJQHKYFRIEEFAJJ7YTR/graph.json","events_json":"https://pith.science/api/pith-number/QDYGH2ABJQHKYFRIEEFAJJ7YTR/events.json","paper":"https://pith.science/paper/QDYGH2AB"},"agent_actions":{"view_html":"https://pith.science/pith/QDYGH2ABJQHKYFRIEEFAJJ7YTR","download_json":"https://pith.science/pith/QDYGH2ABJQHKYFRIEEFAJJ7YTR.json","view_paper":"https://pith.science/paper/QDYGH2AB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.4535&json=true","fetch_graph":"https://pith.science/api/pith-number/QDYGH2ABJQHKYFRIEEFAJJ7YTR/graph.json","fetch_events":"https://pith.science/api/pith-number/QDYGH2ABJQHKYFRIEEFAJJ7YTR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QDYGH2ABJQHKYFRIEEFAJJ7YTR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QDYGH2ABJQHKYFRIEEFAJJ7YTR/action/storage_attestation","attest_author":"https://pith.science/pith/QDYGH2ABJQHKYFRIEEFAJJ7YTR/action/author_attestation","sign_citation":"https://pith.science/pith/QDYGH2ABJQHKYFRIEEFAJJ7YTR/action/citation_signature","submit_replication":"https://pith.science/pith/QDYGH2ABJQHKYFRIEEFAJJ7YTR/action/replication_record"}},"created_at":"2026-05-18T02:39:55.964336+00:00","updated_at":"2026-05-18T02:39:55.964336+00:00"}