{"title":"Stabilizing control of discrete systems with jump Markov parameters","authors":"E. Yaz","doi":"10.1109/CDC.1988.194662","DOIUrl":null,"url":null,"abstract":"A controller is presented for stabilizing linear, discrete-time systems with discrete-time, discrete state jump Markov parameters. Under the conditions given, the controller is shown to be stabilizing in the mean-square-exponential sense. These results can be extended in a straightforward manner to stabilize systems with additive white noises. The calculation of the control action involves the finite-time solution of a set of Riccati-like equations as opposed to the use of infinite-horizon solutions of the same equations in previous designs.<<ETX>>","PeriodicalId":113534,"journal":{"name":"Proceedings of the 27th IEEE Conference on Decision and Control","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1988-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 27th IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1988.194662","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 6
Abstract
A controller is presented for stabilizing linear, discrete-time systems with discrete-time, discrete state jump Markov parameters. Under the conditions given, the controller is shown to be stabilizing in the mean-square-exponential sense. These results can be extended in a straightforward manner to stabilize systems with additive white noises. The calculation of the control action involves the finite-time solution of a set of Riccati-like equations as opposed to the use of infinite-horizon solutions of the same equations in previous designs.<>
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