{"title":"Regularization of controllability problems and observability problems for distributed parameter systems of parabolic type","authors":"T. Kobayashi","doi":"10.1109/CDC.1978.267940","DOIUrl":null,"url":null,"abstract":"The purpose of this paper is to investigate the controllability problem and the observability problem for a distributed parameter system of parabolic type. For a distributed parameter system of parabolic type, both problems are not well-posed in general. A well-posed approximation method which regularizes the problems is presented. The method is analyzed under the assumption that the system is controllable at time T and observable at time T.","PeriodicalId":375119,"journal":{"name":"1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1978.267940","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The purpose of this paper is to investigate the controllability problem and the observability problem for a distributed parameter system of parabolic type. For a distributed parameter system of parabolic type, both problems are not well-posed in general. A well-posed approximation method which regularizes the problems is presented. The method is analyzed under the assumption that the system is controllable at time T and observable at time T.
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