{"title":"涉及Schrödinger算子的合作双曲系统边界型优化问题","authors":"A. H. Qamlo","doi":"10.4236/ICA.2014.54028","DOIUrl":null,"url":null,"abstract":"In this paper, we consider cooperative hyperbolic systems involving Schr?dinger operator defined on Rn. First we prove the existence and uniqueness of the state for these systems. Then we find the necessary and sufficient conditions of optimal control for such systems of the boundary type. We also find the necessary and sufficient conditions of optimal control for same systems when the observation is on the boundary.","PeriodicalId":62904,"journal":{"name":"智能控制与自动化(英文)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2014-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An Optimization Problem of Boundary Type for Cooperative Hyperbolic Systems Involving Schrödinger Operator\",\"authors\":\"A. H. Qamlo\",\"doi\":\"10.4236/ICA.2014.54028\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider cooperative hyperbolic systems involving Schr?dinger operator defined on Rn. First we prove the existence and uniqueness of the state for these systems. Then we find the necessary and sufficient conditions of optimal control for such systems of the boundary type. We also find the necessary and sufficient conditions of optimal control for same systems when the observation is on the boundary.\",\"PeriodicalId\":62904,\"journal\":{\"name\":\"智能控制与自动化(英文)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-10-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"智能控制与自动化(英文)\",\"FirstCategoryId\":\"1093\",\"ListUrlMain\":\"https://doi.org/10.4236/ICA.2014.54028\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"智能控制与自动化(英文)","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.4236/ICA.2014.54028","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An Optimization Problem of Boundary Type for Cooperative Hyperbolic Systems Involving Schrödinger Operator
In this paper, we consider cooperative hyperbolic systems involving Schr?dinger operator defined on Rn. First we prove the existence and uniqueness of the state for these systems. Then we find the necessary and sufficient conditions of optimal control for such systems of the boundary type. We also find the necessary and sufficient conditions of optimal control for same systems when the observation is on the boundary.
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