{"title":"由PDE控制的层次控制问题的最优性条件","authors":"Anthony J. Kearsley","doi":"10.1109/ICA.2011.6130161","DOIUrl":null,"url":null,"abstract":"We consider the approximate pointwise control of a linear parabolic system with multiple targets. Assuming a hierarchy among the objectives, we derive optimality conditions for a particular test problem and provide numerical results.","PeriodicalId":132474,"journal":{"name":"2011 2nd International Conference on Instrumentation Control and Automation","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Optimality conditions for a hierarchical control problem governed by a PDE\",\"authors\":\"Anthony J. Kearsley\",\"doi\":\"10.1109/ICA.2011.6130161\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider the approximate pointwise control of a linear parabolic system with multiple targets. Assuming a hierarchy among the objectives, we derive optimality conditions for a particular test problem and provide numerical results.\",\"PeriodicalId\":132474,\"journal\":{\"name\":\"2011 2nd International Conference on Instrumentation Control and Automation\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 2nd International Conference on Instrumentation Control and Automation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICA.2011.6130161\",\"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 2nd International Conference on Instrumentation Control and Automation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICA.2011.6130161","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Optimality conditions for a hierarchical control problem governed by a PDE
We consider the approximate pointwise control of a linear parabolic system with multiple targets. Assuming a hierarchy among the objectives, we derive optimality conditions for a particular test problem and provide numerical results.