{"title":"一类线性时变奇摄动系统的指数稳定性","authors":"Wu‐Hua Chen, Wei Fu, Rui Du, Xiaomei Lu","doi":"10.1109/ICIST.2011.5765098","DOIUrl":null,"url":null,"abstract":"In this paper, the Gauss-Seidel iteration method is used to investigate the exponential stability of a class of linear time-varying singularly perturbed systems. A simple algebraic criterion for exponential stability for all small enough values of singular perturbation parameter ε is obtained. Moreover, an upper bound on the values of ε for which the system preserves exponential stability can be found by solving a set of ε-dependent inequalities.","PeriodicalId":6408,"journal":{"name":"2009 International Conference on Environmental Science and Information Application Technology","volume":"34 1","pages":"778-783"},"PeriodicalIF":0.0000,"publicationDate":"2011-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Exponential stability of a class of linear time-varying singularly perturbed systems\",\"authors\":\"Wu‐Hua Chen, Wei Fu, Rui Du, Xiaomei Lu\",\"doi\":\"10.1109/ICIST.2011.5765098\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the Gauss-Seidel iteration method is used to investigate the exponential stability of a class of linear time-varying singularly perturbed systems. A simple algebraic criterion for exponential stability for all small enough values of singular perturbation parameter ε is obtained. Moreover, an upper bound on the values of ε for which the system preserves exponential stability can be found by solving a set of ε-dependent inequalities.\",\"PeriodicalId\":6408,\"journal\":{\"name\":\"2009 International Conference on Environmental Science and Information Application Technology\",\"volume\":\"34 1\",\"pages\":\"778-783\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-03-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 International Conference on Environmental Science and Information Application Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICIST.2011.5765098\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Conference on Environmental Science and Information Application Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIST.2011.5765098","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Exponential stability of a class of linear time-varying singularly perturbed systems
In this paper, the Gauss-Seidel iteration method is used to investigate the exponential stability of a class of linear time-varying singularly perturbed systems. A simple algebraic criterion for exponential stability for all small enough values of singular perturbation parameter ε is obtained. Moreover, an upper bound on the values of ε for which the system preserves exponential stability can be found by solving a set of ε-dependent inequalities.
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