{"title":"抛物型分布参数系统的可控性问题和可观测性问题的正则化","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":"{\"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}","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}
Regularization of controllability problems and observability problems for distributed parameter systems of parabolic type
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.