{"title":"Asynchronous partially mode-dependent control for switched larger-scale nonlinear systems with bounded sojourn time","authors":"Jiajia Li , Xin Tian, Guoliang Wei","doi":"10.1016/j.amc.2021.126809","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, the asynchronous partially mode-dependent control problem is investigated for switched larger-scale systems (SLSSs) with inherent nonlinearities, known sojourn probabilities and bounded sojourn time. The interconnection among subsystems is nonlinear and subject to stochastic switching. The resultant part available mode information is that the modes of controllers and the plant are asynchronous. By introducing a mode storage rule and transforming the asynchronous system into a general switched system, the stability criteria is obtain with available modes, the sum of these modes’ sojourn probabilities and the bounds of sojourn time. Then, some sufficient conditions are derived to guarantee the mean-square stability (MSS) by employing Young inequality and the desired asynchronous controller is designed by using available softwares. At last, an example is provided to illustrate the main methods in this paper.</p></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"418 ","pages":"Article 126809"},"PeriodicalIF":3.4000,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics and Computation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0096300321008912","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 2
Abstract
In this paper, the asynchronous partially mode-dependent control problem is investigated for switched larger-scale systems (SLSSs) with inherent nonlinearities, known sojourn probabilities and bounded sojourn time. The interconnection among subsystems is nonlinear and subject to stochastic switching. The resultant part available mode information is that the modes of controllers and the plant are asynchronous. By introducing a mode storage rule and transforming the asynchronous system into a general switched system, the stability criteria is obtain with available modes, the sum of these modes’ sojourn probabilities and the bounds of sojourn time. Then, some sufficient conditions are derived to guarantee the mean-square stability (MSS) by employing Young inequality and the desired asynchronous controller is designed by using available softwares. At last, an example is provided to illustrate the main methods in this paper.
期刊介绍：
Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results.
In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.
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