{"title":"Infinite-horizon BSDE approach for exponential stabilization of discrete-time stochastic system","authors":"Yue Sun , Juanjuan Xu , Wei Wang , Huanshui Zhang","doi":"10.1016/j.sysconle.2025.106047","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, the exponential stabilizability via closed loop for a kind of discrete-time stochastic systems with multiplicative noise is taken into consideration. The main contribution is to provide the necessary and sufficient condition for the exponential stabilizability via closed loop of the stochastic system in accordance with the exact controllability. The key technique is to use the open-loop solvability of a type of backward stochastic difference equations in infinite horizon.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"197 ","pages":"Article 106047"},"PeriodicalIF":2.5000,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Systems & Control Letters","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167691125000295","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/2/17 0:00:00","PubModel":"Epub","JCR":"Q3","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, the exponential stabilizability via closed loop for a kind of discrete-time stochastic systems with multiplicative noise is taken into consideration. The main contribution is to provide the necessary and sufficient condition for the exponential stabilizability via closed loop of the stochastic system in accordance with the exact controllability. The key technique is to use the open-loop solvability of a type of backward stochastic difference equations in infinite horizon.
期刊介绍：
Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.
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