{"title":"Stability and ℓ1-Gain Analysis for Switched Positive Systems With MDADT Based on Quasi-Time-Dependent Approach","authors":"Xiaoli Li, Shengli Du, Xudong Zhao","doi":"10.1109/TSMC.2019.2956567","DOIUrl":null,"url":null,"abstract":"This article is concerned with the exponential stability and $\\ell _{1}$ -gain performance analysis of discrete-time switched positive systems (DTSPSs) under mode-dependent average dwell time (MDADT) switching. A novel linear copositive Lyapunov function, which is both quasi-time-dependent and mode-dependent, is designed for the stability and performance analysis. Stability conditions are developed such that the considered DTSPS is exponentially stable and also attains an attenuation performance. The solved conditions for the controllers design are presented in terms of linear programming (LP), and are both quasi-time-dependent and mode-dependent. Two examples are organized to validate the effectiveness of the proposed scheme finally.","PeriodicalId":55007,"journal":{"name":"IEEE Transactions on Systems Man and Cybernetics Part A-Systems and Humans","volume":"4 1","pages":"5846-5854"},"PeriodicalIF":0.0000,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Systems Man and Cybernetics Part A-Systems and Humans","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TSMC.2019.2956567","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 10
Abstract
This article is concerned with the exponential stability and $\ell _{1}$ -gain performance analysis of discrete-time switched positive systems (DTSPSs) under mode-dependent average dwell time (MDADT) switching. A novel linear copositive Lyapunov function, which is both quasi-time-dependent and mode-dependent, is designed for the stability and performance analysis. Stability conditions are developed such that the considered DTSPS is exponentially stable and also attains an attenuation performance. The solved conditions for the controllers design are presented in terms of linear programming (LP), and are both quasi-time-dependent and mode-dependent. Two examples are organized to validate the effectiveness of the proposed scheme finally.
期刊介绍：
The scope of the IEEE Transactions on Systems, Man, and Cybernetics: Systems includes the fields of systems engineering. It includes issue formulation, analysis and modeling, decision making, and issue interpretation for any of the systems engineering lifecycle phases associated with the definition, development, and deployment of large systems. In addition, it includes systems management, systems engineering processes, and a variety of systems engineering methods such as optimization, modeling and simulation.
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