{"title":"切换非线性系统实用集稳定性的新结果","authors":"Yi Zhang, J. Yang, Honglei Xu, K. Teo","doi":"10.1109/AUCC.2013.6697266","DOIUrl":null,"url":null,"abstract":"In this paper, we consider the practical set stability problem of a switched nonlinear system, in which every subsystem has one unique equilibrium point and these equilibrium points are different from each other. Based on the new concepts such as ε-practical set stability and a τ-persistent switching law, we explicitly construct a closed bounded set Γ and prove that under an appropriate τ-persistent switching law the switched system is ε-practically (asymptotically) set stable with respect to Γ. Finally, we present a numerical example to illustrate the results obtained.","PeriodicalId":177490,"journal":{"name":"2013 Australian Control Conference","volume":"33 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"New results on practical set stability of switched nonlinear systems\",\"authors\":\"Yi Zhang, J. Yang, Honglei Xu, K. Teo\",\"doi\":\"10.1109/AUCC.2013.6697266\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider the practical set stability problem of a switched nonlinear system, in which every subsystem has one unique equilibrium point and these equilibrium points are different from each other. Based on the new concepts such as ε-practical set stability and a τ-persistent switching law, we explicitly construct a closed bounded set Γ and prove that under an appropriate τ-persistent switching law the switched system is ε-practically (asymptotically) set stable with respect to Γ. Finally, we present a numerical example to illustrate the results obtained.\",\"PeriodicalId\":177490,\"journal\":{\"name\":\"2013 Australian Control Conference\",\"volume\":\"33 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2013 Australian Control Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/AUCC.2013.6697266\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 Australian Control Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/AUCC.2013.6697266","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
New results on practical set stability of switched nonlinear systems
In this paper, we consider the practical set stability problem of a switched nonlinear system, in which every subsystem has one unique equilibrium point and these equilibrium points are different from each other. Based on the new concepts such as ε-practical set stability and a τ-persistent switching law, we explicitly construct a closed bounded set Γ and prove that under an appropriate τ-persistent switching law the switched system is ε-practically (asymptotically) set stable with respect to Γ. Finally, we present a numerical example to illustrate the results obtained.
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