{"title":"等周期连续时间优化问题的最优性条件","authors":"Jelena Vićanović","doi":"10.2298/yjor220415013v","DOIUrl":null,"url":null,"abstract":"In this paper we deal with a nonsmooth case of isoperimetric convex continuous-time programming problem with inequality integral constraint and phase constraint, defined in L?([0,T],Rn). In order to obtain necessary optimality conditions for this problem, we will use a theorem of the alternative from [15] as a main tool.","PeriodicalId":52438,"journal":{"name":"Yugoslav Journal of Operations Research","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Optimality conditions for isoperimetric continuous - time optimization problems\",\"authors\":\"Jelena Vićanović\",\"doi\":\"10.2298/yjor220415013v\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we deal with a nonsmooth case of isoperimetric convex continuous-time programming problem with inequality integral constraint and phase constraint, defined in L?([0,T],Rn). In order to obtain necessary optimality conditions for this problem, we will use a theorem of the alternative from [15] as a main tool.\",\"PeriodicalId\":52438,\"journal\":{\"name\":\"Yugoslav Journal of Operations Research\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Yugoslav Journal of Operations Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2298/yjor220415013v\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Decision Sciences\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Yugoslav Journal of Operations Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/yjor220415013v","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Decision Sciences","Score":null,"Total":0}
Optimality conditions for isoperimetric continuous - time optimization problems
In this paper we deal with a nonsmooth case of isoperimetric convex continuous-time programming problem with inequality integral constraint and phase constraint, defined in L?([0,T],Rn). In order to obtain necessary optimality conditions for this problem, we will use a theorem of the alternative from [15] as a main tool.