{"paper":{"title":"Generalized maximum principle in optimal control","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Evgeny Avakov, Georgii Magaril-Il'yaev","submitted_at":"2018-06-27T11:39:16Z","abstract_excerpt":"For an optimal control problem, the concept of a strong local infimum is introduce, for which necessary conditions consisting of some family of \"maximum principles\" are formulated. If a function delivers a strong local minimum in this problem (and therefore, a~strong local infimum), then this family contains the classical Pontryagin maximum principle. As a corollary, we derive generalized necessary conditions for a strong local minimum for a problem of the calculus of variations. Examples are given to show that the necessary conditions obtained in the present paper generalize and strengthen cl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.10418","kind":"arxiv","version":3},"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"}