{"title":"边界条件下出现积分时滞抛物-双曲型系统的边界控制","authors":"A. Kowalewski","doi":"10.1109/MMAR.2011.6031319","DOIUrl":null,"url":null,"abstract":"Optimal boundary control problems for linear parabolic-hyperbolic systems with the Neumann boundary conditions involving integral time delays are considered. Sufficient conditions for the existence of a unique solution for such parabolic-hyperbolic systems are proved. Necessary and sufficient conditions of optimality are derived for the Neumann problem. The problem of determining of the optimal control is discussed.","PeriodicalId":440376,"journal":{"name":"2011 16th International Conference on Methods & Models in Automation & Robotics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Boundary control of parabolic-hyperbolic systems with integral time delays appearing in the boundary conditions\",\"authors\":\"A. Kowalewski\",\"doi\":\"10.1109/MMAR.2011.6031319\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Optimal boundary control problems for linear parabolic-hyperbolic systems with the Neumann boundary conditions involving integral time delays are considered. Sufficient conditions for the existence of a unique solution for such parabolic-hyperbolic systems are proved. Necessary and sufficient conditions of optimality are derived for the Neumann problem. The problem of determining of the optimal control is discussed.\",\"PeriodicalId\":440376,\"journal\":{\"name\":\"2011 16th International Conference on Methods & Models in Automation & Robotics\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-09-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 16th International Conference on Methods & Models in Automation & Robotics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MMAR.2011.6031319\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 16th International Conference on Methods & Models in Automation & Robotics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MMAR.2011.6031319","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Boundary control of parabolic-hyperbolic systems with integral time delays appearing in the boundary conditions
Optimal boundary control problems for linear parabolic-hyperbolic systems with the Neumann boundary conditions involving integral time delays are considered. Sufficient conditions for the existence of a unique solution for such parabolic-hyperbolic systems are proved. Necessary and sufficient conditions of optimality are derived for the Neumann problem. The problem of determining of the optimal control is discussed.
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