{"title":"最优控制理论中的最大原理残差泛函","authors":"M.I. Sumin","doi":"10.1016/0041-5553(90)90053-U","DOIUrl":null,"url":null,"abstract":"<div><p>The possibilities of applying results related to the so-called maximum principle residual functional to justify and design algorithms for solving optimal control problems and discussed. The differential properties of the value function of the optimal control problem are established. A dual method for solving the optimal control problem, based on maximizing the value function of a modified Lagrange functional, is described.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 117-129"},"PeriodicalIF":0.0000,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90053-U","citationCount":"0","resultStr":"{\"title\":\"The maximum principle residual functional in optimal control theory\",\"authors\":\"M.I. Sumin\",\"doi\":\"10.1016/0041-5553(90)90053-U\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The possibilities of applying results related to the so-called maximum principle residual functional to justify and design algorithms for solving optimal control problems and discussed. The differential properties of the value function of the optimal control problem are established. A dual method for solving the optimal control problem, based on maximizing the value function of a modified Lagrange functional, is described.</p></div>\",\"PeriodicalId\":101271,\"journal\":{\"name\":\"USSR Computational Mathematics and Mathematical Physics\",\"volume\":\"30 4\",\"pages\":\"Pages 117-129\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0041-5553(90)90053-U\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"USSR Computational Mathematics and Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/004155539090053U\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"USSR Computational Mathematics and Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/004155539090053U","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The maximum principle residual functional in optimal control theory
The possibilities of applying results related to the so-called maximum principle residual functional to justify and design algorithms for solving optimal control problems and discussed. The differential properties of the value function of the optimal control problem are established. A dual method for solving the optimal control problem, based on maximizing the value function of a modified Lagrange functional, is described.
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