{"title":"THE METHOD OF FUNCTION OF AN OPERATOR, AND ITERATIVE PROCESSES IN SOME OPTIMAL CONTROL PROBLEMS","authors":"I. I. Golichev","doi":"10.1070/IM1992V039N01ABEH002226","DOIUrl":null,"url":null,"abstract":"For a problem with control of the right-hand side of the state equation and with observation at the terminal time instant, the representation of the solution in the form of a function of an operator is obtained. A criterion for solvability of the time-optimal control problem is found. An iterative process for solving the problem, whose rate of convergence does not depend on the regularization parameter, is constructed.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1992V039N01ABEH002226","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
For a problem with control of the right-hand side of the state equation and with observation at the terminal time instant, the representation of the solution in the form of a function of an operator is obtained. A criterion for solvability of the time-optimal control problem is found. An iterative process for solving the problem, whose rate of convergence does not depend on the regularization parameter, is constructed.
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