Matches in SemOpenAlex for { <https://semopenalex.org/work/W2937316886> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W2937316886 abstract "Abstract As is known, an optimal control problem may not have a solution. A.F. Filippov in [1] obtained his well-known theorem under the assumption of the convexity of the velocity set. Further, this convexity-based approach was significantly improved in the work of R.V. Gamkrelidze and J. Warga, see in [2,3], while a more general existence theorem was proposed for which, by introducing the so-called generalized controls and the concept of convexification of the problem, the existence of a solution in an extended control problem was asserted. In this paper, such an approach is developed on discontinuous arcs. More precisely, our work combines the two approaches – the one based on the Lebesgue discontinuous time variable change, and the other, based on the convexification of the optimal control problem by virtue of the generalized controls proposed by Gamkrelidze. This leads to a general impulsive extension of the optimal control problem based on the concept of generalized impulsive control. A generalized Filippov-like existence theorem for a solution is obtained. Within the framework of the proposed approach, a few classic examples taken from the calculus of variations are examined, in which discontinuities of optimal arcs inevitably arise." @default.
- W2937316886 created "2019-04-25" @default.
- W2937316886 creator A5004511167 @default.
- W2937316886 creator A5008067968 @default.
- W2937316886 creator A5029082681 @default.
- W2937316886 creator A5064908841 @default.
- W2937316886 date "2019-01-01" @default.
- W2937316886 modified "2023-10-01" @default.
- W2937316886 title "A Generalized Filippov-like Existence Theorem for Optimal Control Problems with Constraints" @default.
- W2937316886 cites W176865736 @default.
- W2937316886 cites W1965561825 @default.
- W2937316886 cites W1968199169 @default.
- W2937316886 cites W2012410161 @default.
- W2937316886 cites W2016842168 @default.
- W2937316886 cites W2051666174 @default.
- W2937316886 cites W2074682681 @default.
- W2937316886 cites W2075744588 @default.
- W2937316886 cites W2112140094 @default.
- W2937316886 cites W2166776080 @default.
- W2937316886 doi "https://doi.org/10.1016/j.procs.2019.02.082" @default.
- W2937316886 hasPublicationYear "2019" @default.
- W2937316886 type Work @default.
- W2937316886 sameAs 2937316886 @default.
- W2937316886 citedByCount "0" @default.
- W2937316886 crossrefType "journal-article" @default.
- W2937316886 hasAuthorship W2937316886A5004511167 @default.
- W2937316886 hasAuthorship W2937316886A5008067968 @default.
- W2937316886 hasAuthorship W2937316886A5029082681 @default.
- W2937316886 hasAuthorship W2937316886A5064908841 @default.
- W2937316886 hasBestOaLocation W29373168861 @default.
- W2937316886 hasConcept C106159729 @default.
- W2937316886 hasConcept C126255220 @default.
- W2937316886 hasConcept C134306372 @default.
- W2937316886 hasConcept C14158598 @default.
- W2937316886 hasConcept C154945302 @default.
- W2937316886 hasConcept C15627037 @default.
- W2937316886 hasConcept C162324750 @default.
- W2937316886 hasConcept C199343813 @default.
- W2937316886 hasConcept C199360897 @default.
- W2937316886 hasConcept C202444582 @default.
- W2937316886 hasConcept C2775924081 @default.
- W2937316886 hasConcept C2776548862 @default.
- W2937316886 hasConcept C2777686260 @default.
- W2937316886 hasConcept C2778029271 @default.
- W2937316886 hasConcept C28826006 @default.
- W2937316886 hasConcept C33923547 @default.
- W2937316886 hasConcept C41008148 @default.
- W2937316886 hasConcept C71924100 @default.
- W2937316886 hasConcept C72134830 @default.
- W2937316886 hasConcept C91575142 @default.
- W2937316886 hasConceptScore W2937316886C106159729 @default.
- W2937316886 hasConceptScore W2937316886C126255220 @default.
- W2937316886 hasConceptScore W2937316886C134306372 @default.
- W2937316886 hasConceptScore W2937316886C14158598 @default.
- W2937316886 hasConceptScore W2937316886C154945302 @default.
- W2937316886 hasConceptScore W2937316886C15627037 @default.
- W2937316886 hasConceptScore W2937316886C162324750 @default.
- W2937316886 hasConceptScore W2937316886C199343813 @default.
- W2937316886 hasConceptScore W2937316886C199360897 @default.
- W2937316886 hasConceptScore W2937316886C202444582 @default.
- W2937316886 hasConceptScore W2937316886C2775924081 @default.
- W2937316886 hasConceptScore W2937316886C2776548862 @default.
- W2937316886 hasConceptScore W2937316886C2777686260 @default.
- W2937316886 hasConceptScore W2937316886C2778029271 @default.
- W2937316886 hasConceptScore W2937316886C28826006 @default.
- W2937316886 hasConceptScore W2937316886C33923547 @default.
- W2937316886 hasConceptScore W2937316886C41008148 @default.
- W2937316886 hasConceptScore W2937316886C71924100 @default.
- W2937316886 hasConceptScore W2937316886C72134830 @default.
- W2937316886 hasConceptScore W2937316886C91575142 @default.
- W2937316886 hasLocation W29373168861 @default.
- W2937316886 hasOpenAccess W2937316886 @default.
- W2937316886 hasPrimaryLocation W29373168861 @default.
- W2937316886 hasRelatedWork W106402009 @default.
- W2937316886 hasRelatedWork W1610305231 @default.
- W2937316886 hasRelatedWork W175633015 @default.
- W2937316886 hasRelatedWork W1993279825 @default.
- W2937316886 hasRelatedWork W2011367843 @default.
- W2937316886 hasRelatedWork W2027944454 @default.
- W2937316886 hasRelatedWork W2036017757 @default.
- W2937316886 hasRelatedWork W2040757848 @default.
- W2937316886 hasRelatedWork W2056576172 @default.
- W2937316886 hasRelatedWork W2062398700 @default.
- W2937316886 hasRelatedWork W2084344008 @default.
- W2937316886 hasRelatedWork W2136111623 @default.
- W2937316886 hasRelatedWork W2183111711 @default.
- W2937316886 hasRelatedWork W2755608119 @default.
- W2937316886 hasRelatedWork W2807678128 @default.
- W2937316886 hasRelatedWork W3087206772 @default.
- W2937316886 hasRelatedWork W3199005052 @default.
- W2937316886 hasRelatedWork W3211455312 @default.
- W2937316886 hasRelatedWork W47254212 @default.
- W2937316886 hasRelatedWork W2360150101 @default.
- W2937316886 isParatext "false" @default.
- W2937316886 isRetracted "false" @default.
- W2937316886 magId "2937316886" @default.
- W2937316886 workType "article" @default.