{"title":"非光滑最优控制问题中状态约束的松弛方法","authors":"M. Dymkov, Siarhey M. Dymkou","doi":"10.33581/2520-6508-2022-2-107-114","DOIUrl":null,"url":null,"abstract":"In this paper, we consider the optimal control problem described by a system of ordinary differential equations in the presence of state constraints. Theoretical results are obtained concerning the approximation of this problem by a sequence of new optimal control problems with a modified right-hand side of the control system and no state constraints. The issues of the approximation of continuous control systems by their discrete versions are also discussed.","PeriodicalId":36323,"journal":{"name":"Zhurnal Belorusskogo Gosudarstvennogo Universiteta. Matematika. Informatika","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A method for relaxing state constraints in nonsmooth optimal control problems\",\"authors\":\"M. Dymkov, Siarhey M. Dymkou\",\"doi\":\"10.33581/2520-6508-2022-2-107-114\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider the optimal control problem described by a system of ordinary differential equations in the presence of state constraints. Theoretical results are obtained concerning the approximation of this problem by a sequence of new optimal control problems with a modified right-hand side of the control system and no state constraints. The issues of the approximation of continuous control systems by their discrete versions are also discussed.\",\"PeriodicalId\":36323,\"journal\":{\"name\":\"Zhurnal Belorusskogo Gosudarstvennogo Universiteta. Matematika. Informatika\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-07-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Zhurnal Belorusskogo Gosudarstvennogo Universiteta. Matematika. Informatika\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.33581/2520-6508-2022-2-107-114\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Zhurnal Belorusskogo Gosudarstvennogo Universiteta. Matematika. Informatika","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33581/2520-6508-2022-2-107-114","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
A method for relaxing state constraints in nonsmooth optimal control problems
In this paper, we consider the optimal control problem described by a system of ordinary differential equations in the presence of state constraints. Theoretical results are obtained concerning the approximation of this problem by a sequence of new optimal control problems with a modified right-hand side of the control system and no state constraints. The issues of the approximation of continuous control systems by their discrete versions are also discussed.
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