S. Stojanovic, D. Debeljkovic, T. Nestorović, D. Antić
{"title":"一类线性离散广义系统的有限时间有界性分析:LMI方法","authors":"S. Stojanovic, D. Debeljkovic, T. Nestorović, D. Antić","doi":"10.1109/ICOSC.2013.6750991","DOIUrl":null,"url":null,"abstract":"In this paper, the class of linear discrete-time descriptor systems with time-varying exogenous disturbance are considered. Three sufficient conditions for the finite time boundedness and finite-time stability of linear discrete-time descriptor systems are presented. The stability conditions are reduced to a feasibility problem involving linear matrix inequalities. A numerical example has been provided to show the advantage of derived results.","PeriodicalId":199135,"journal":{"name":"3rd International Conference on Systems and Control","volume":"33 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Finite-time boundedness analysis of a class of linear discrete descriptor systems: An LMI approach\",\"authors\":\"S. Stojanovic, D. Debeljkovic, T. Nestorović, D. Antić\",\"doi\":\"10.1109/ICOSC.2013.6750991\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the class of linear discrete-time descriptor systems with time-varying exogenous disturbance are considered. Three sufficient conditions for the finite time boundedness and finite-time stability of linear discrete-time descriptor systems are presented. The stability conditions are reduced to a feasibility problem involving linear matrix inequalities. A numerical example has been provided to show the advantage of derived results.\",\"PeriodicalId\":199135,\"journal\":{\"name\":\"3rd International Conference on Systems and Control\",\"volume\":\"33 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"3rd International Conference on Systems and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICOSC.2013.6750991\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"3rd International Conference on Systems and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICOSC.2013.6750991","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Finite-time boundedness analysis of a class of linear discrete descriptor systems: An LMI approach
In this paper, the class of linear discrete-time descriptor systems with time-varying exogenous disturbance are considered. Three sufficient conditions for the finite time boundedness and finite-time stability of linear discrete-time descriptor systems are presented. The stability conditions are reduced to a feasibility problem involving linear matrix inequalities. A numerical example has been provided to show the advantage of derived results.
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