{"title":"具有时变滞后边界条件的分布抛物型系统的极值问题","authors":"A. Kowalewski","doi":"10.1109/MMAR.2017.8046869","DOIUrl":null,"url":null,"abstract":"Extremal problems for parabolic systems with time-varying lags are presented. An optimal boundary control problem for distributed parabolic systems with boundary conditions involving time-varying lags is solved. The time horizon is fixed. Making use of Dubovicki-Milutin scheme, necessary and sufficient conditions of optimality for the Neumann problem with the quadratic performance functionals and constrained control are derived.","PeriodicalId":189753,"journal":{"name":"2017 22nd International Conference on Methods and Models in Automation and Robotics (MMAR)","volume":"30 2","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Extremal problems for distributed parabolic systems with boundary conditions involving time-varying lags\",\"authors\":\"A. Kowalewski\",\"doi\":\"10.1109/MMAR.2017.8046869\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Extremal problems for parabolic systems with time-varying lags are presented. An optimal boundary control problem for distributed parabolic systems with boundary conditions involving time-varying lags is solved. The time horizon is fixed. Making use of Dubovicki-Milutin scheme, necessary and sufficient conditions of optimality for the Neumann problem with the quadratic performance functionals and constrained control are derived.\",\"PeriodicalId\":189753,\"journal\":{\"name\":\"2017 22nd International Conference on Methods and Models in Automation and Robotics (MMAR)\",\"volume\":\"30 2\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2017 22nd International Conference on Methods and Models in Automation and Robotics (MMAR)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MMAR.2017.8046869\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 22nd International Conference on Methods and Models in Automation and Robotics (MMAR)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MMAR.2017.8046869","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Extremal problems for distributed parabolic systems with boundary conditions involving time-varying lags
Extremal problems for parabolic systems with time-varying lags are presented. An optimal boundary control problem for distributed parabolic systems with boundary conditions involving time-varying lags is solved. The time horizon is fixed. Making use of Dubovicki-Milutin scheme, necessary and sufficient conditions of optimality for the Neumann problem with the quadratic performance functionals and constrained control are derived.
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