{"title":"离散非线性二次系统的有限时间有界性与镇定性","authors":"Yunliang Wei, W. Zheng","doi":"10.1109/AUCC.2013.6697265","DOIUrl":null,"url":null,"abstract":"This paper deals with the problems of finite-time boundedness and stabilization for discrete-time nonlinear quadratic systems. Some sufficient conditions are derived, under which the finite-time boundedness of nonlinear quadratic systems is guaranteed. By using a similar method, the finite-time stability for discrete-time nonlinear quadratic systems is also established as a corollary. Moreover, to solve the finite-time stabilization problem, a stabilizing state feedback controller is designed. A simulation example is provided to illustrate the efficiency of the proposed technique.","PeriodicalId":177490,"journal":{"name":"2013 Australian Control Conference","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Finite-time boundedness and stabilization of discrete-time nonlinear quadratic systems\",\"authors\":\"Yunliang Wei, W. Zheng\",\"doi\":\"10.1109/AUCC.2013.6697265\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper deals with the problems of finite-time boundedness and stabilization for discrete-time nonlinear quadratic systems. Some sufficient conditions are derived, under which the finite-time boundedness of nonlinear quadratic systems is guaranteed. By using a similar method, the finite-time stability for discrete-time nonlinear quadratic systems is also established as a corollary. Moreover, to solve the finite-time stabilization problem, a stabilizing state feedback controller is designed. A simulation example is provided to illustrate the efficiency of the proposed technique.\",\"PeriodicalId\":177490,\"journal\":{\"name\":\"2013 Australian Control Conference\",\"volume\":\"41 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2013 Australian Control Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/AUCC.2013.6697265\",\"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.2013.6697265","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Finite-time boundedness and stabilization of discrete-time nonlinear quadratic systems
This paper deals with the problems of finite-time boundedness and stabilization for discrete-time nonlinear quadratic systems. Some sufficient conditions are derived, under which the finite-time boundedness of nonlinear quadratic systems is guaranteed. By using a similar method, the finite-time stability for discrete-time nonlinear quadratic systems is also established as a corollary. Moreover, to solve the finite-time stabilization problem, a stabilizing state feedback controller is designed. A simulation example is provided to illustrate the efficiency of the proposed technique.
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