{"title":"Finite‐time annular domain stability and stabilization for stochastic Markovian switching systems driven by Wiener and Poisson noises","authors":"Shiyu Zhong, Weihai Zhang, Zhiguo Yan","doi":"10.1002/rnc.5390","DOIUrl":null,"url":null,"abstract":"This paper studies finite‐time annular domain stability (FTADS) and stabilization for stochastic Markovian switching systems driven by both Wiener and Poisson noises. Firstly, new sufficient conditions, based on the common parameter approach (CPA)/mode‐dependent parameter approach (MDPA), are presented to make the stochastic Markovian switching systems FTADS. Secondly, the finite‐time annular domain stabilization (FTAD‐stabilization) is discussed. The state feedback controller (SFC) and the dynamic output feedback controller (DOFC) are designed by CPA/MDPA, respectively, and some new sufficient conditions are given for the existence of these controllers. Moreover, an algorithm is presented to find the value ranges of some parameters, which shows the superiority of MDPA. Finally, a numerical example is supplied to verify the validity of our results.","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"31 1","pages":"2290 - 2304"},"PeriodicalIF":3.2000,"publicationDate":"2020-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/rnc.5390","citationCount":"10","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Robust and Nonlinear Control","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1002/rnc.5390","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 10
Abstract
This paper studies finite‐time annular domain stability (FTADS) and stabilization for stochastic Markovian switching systems driven by both Wiener and Poisson noises. Firstly, new sufficient conditions, based on the common parameter approach (CPA)/mode‐dependent parameter approach (MDPA), are presented to make the stochastic Markovian switching systems FTADS. Secondly, the finite‐time annular domain stabilization (FTAD‐stabilization) is discussed. The state feedback controller (SFC) and the dynamic output feedback controller (DOFC) are designed by CPA/MDPA, respectively, and some new sufficient conditions are given for the existence of these controllers. Moreover, an algorithm is presented to find the value ranges of some parameters, which shows the superiority of MDPA. Finally, a numerical example is supplied to verify the validity of our results.
期刊介绍：
Papers that do not include an element of robust or nonlinear control and estimation theory will not be considered by the journal, and all papers will be expected to include significant novel content. The focus of the journal is on model based control design approaches rather than heuristic or rule based methods. Papers on neural networks will have to be of exceptional novelty to be considered for the journal.
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