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Optimal control of nonconvex sweeping processes with separable endpoints: Nonsmooth maximum principle for local minimizers

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dc.contributor.author Nour, Chadi
dc.contributor.author Zeidan, Vera
dc.date.accessioned 2023-05-03T11:18:37Z
dc.date.available 2023-05-03T11:18:37Z
dc.date.copyright 2022 en_US
dc.date.issued 2022-04-24
dc.identifier.issn 0022-0396 en_US
dc.identifier.uri http://hdl.handle.net/10725/14655
dc.description.abstract In this paper the nonsmooth maximum principle derived in [33] for global minimizers of an optimal control problem governed by a controlled nonconvex sweeping process, is generalized in several directions. More specifically, the assumptions are weakened, a state final-endpoint constraint set is added, the cost function is allowed to depend on both endpoints of the state, strong local minimizers are considered, and new subdifferentials that are strictly smaller than Clarke and Mordukhovich subdifferentials are employed. en_US
dc.language.iso en en_US
dc.title Optimal control of nonconvex sweeping processes with separable endpoints: Nonsmooth maximum principle for local minimizers en_US
dc.type Article en_US
dc.description.version Published en_US
dc.author.school SAS en_US
dc.author.idnumber 200502681 en_US
dc.author.department Computer Science And Mathematics en_US
dc.relation.journal Journal of Differential Equations en_US
dc.journal.volume 318 en_US
dc.article.pages 113-168 en_US
dc.keywords Nonconvex sweeping process en_US
dc.keywords Optimal control en_US
dc.keywords Separable state endpoints en_US
dc.keywords Pontryagin-type maximum principle en_US
dc.keywords Strong local minimizers en_US
dc.keywords Nonsmooth analysis en_US
dc.identifier.doi https://doi.org/10.1016/j.jde.2022.02.021 en_US
dc.identifier.ctation Nour, C., & Zeidan, V. (2022). Optimal control of nonconvex sweeping processes with separable endpoints: Nonsmooth maximum principle for local minimizers. Journal of Differential Equations, 318, 113-168. en_US
dc.author.email chadi.nour@lau.edu.lb en_US
dc.identifier.tou http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php en_US
dc.identifier.url https://www.sciencedirect.com/science/article/pii/S002203962200119X en_US
dc.orcid.id https://orcid.org/0000-0003-4378-7459 en_US
dc.author.affiliation Lebanese American University en_US


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