{"title":"具有时滞和扰动的切换时变系统的指数稳定性","authors":"Min Zhao, Yuangong Sun","doi":"10.23919/ICCAS.2017.8204398","DOIUrl":null,"url":null,"abstract":"In this paper we study a class of switched time-varying systems with delay and nonlinear disturbance. Based on a generalized integral inequality with time-varying delay, new sufficient conditions for exponential stability of the system are established for both the cases when the involved nonlinear disturbance satisfies linear and nonlinear growing conditions, respectively. Two numerical examples are also given to demonstrate the effectiveness of the theoretical results of this paper.","PeriodicalId":140598,"journal":{"name":"2017 17th International Conference on Control, Automation and Systems (ICCAS)","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Exponential stability of switched time-varying systems with delay and disturbance\",\"authors\":\"Min Zhao, Yuangong Sun\",\"doi\":\"10.23919/ICCAS.2017.8204398\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we study a class of switched time-varying systems with delay and nonlinear disturbance. Based on a generalized integral inequality with time-varying delay, new sufficient conditions for exponential stability of the system are established for both the cases when the involved nonlinear disturbance satisfies linear and nonlinear growing conditions, respectively. Two numerical examples are also given to demonstrate the effectiveness of the theoretical results of this paper.\",\"PeriodicalId\":140598,\"journal\":{\"name\":\"2017 17th International Conference on Control, Automation and Systems (ICCAS)\",\"volume\":\"9 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2017 17th International Conference on Control, Automation and Systems (ICCAS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23919/ICCAS.2017.8204398\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 17th International Conference on Control, Automation and Systems (ICCAS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/ICCAS.2017.8204398","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Exponential stability of switched time-varying systems with delay and disturbance
In this paper we study a class of switched time-varying systems with delay and nonlinear disturbance. Based on a generalized integral inequality with time-varying delay, new sufficient conditions for exponential stability of the system are established for both the cases when the involved nonlinear disturbance satisfies linear and nonlinear growing conditions, respectively. Two numerical examples are also given to demonstrate the effectiveness of the theoretical results of this paper.