{"title":"Existence of Optimal Sets for Linear Variational Equations and Inequalities","authors":"V. G. Zamuraev","doi":"10.1134/s0012266124060053","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> The paper considers an optimal control problem in which the plant is described by a linear\nfunctional equation in a Hilbert space and a control action is a change of the space. Sufficient\nconditions for the existence of a solution are obtained. The results are generalized to the case in\nwhich the plant is described by a linear variational inequality.\n</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0012266124060053","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The paper considers an optimal control problem in which the plant is described by a linear
functional equation in a Hilbert space and a control action is a change of the space. Sufficient
conditions for the existence of a solution are obtained. The results are generalized to the case in
which the plant is described by a linear variational inequality.
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