{"title":"多时滞离散动态区间系统鲁棒稳定性准则","authors":"Jinfang Han, Hui Tian, Z. Meng","doi":"10.1109/ICMLC.2010.5580597","DOIUrl":null,"url":null,"abstract":"In this paper, the sufficient conditions of the robust stability for a class of discrete-time dynamic interval systems with multiple time-delays are obtained using the Lyapunov stability theory and some properties of spectral radius. Using the decomposition of matrix, a kind of equivalent description of the discrete-time dynamic interval systems is presented. Numerical examples have been given to illustrate the effectiveness of the proposed results. Some previously known results are generalized.","PeriodicalId":126080,"journal":{"name":"2010 International Conference on Machine Learning and Cybernetics","volume":"52 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Critria for robust stability of discrete-time dynamic interval systems with multiple time-delays\",\"authors\":\"Jinfang Han, Hui Tian, Z. Meng\",\"doi\":\"10.1109/ICMLC.2010.5580597\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the sufficient conditions of the robust stability for a class of discrete-time dynamic interval systems with multiple time-delays are obtained using the Lyapunov stability theory and some properties of spectral radius. Using the decomposition of matrix, a kind of equivalent description of the discrete-time dynamic interval systems is presented. Numerical examples have been given to illustrate the effectiveness of the proposed results. Some previously known results are generalized.\",\"PeriodicalId\":126080,\"journal\":{\"name\":\"2010 International Conference on Machine Learning and Cybernetics\",\"volume\":\"52 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-07-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 International Conference on Machine Learning and Cybernetics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICMLC.2010.5580597\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 International Conference on Machine Learning and Cybernetics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICMLC.2010.5580597","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Critria for robust stability of discrete-time dynamic interval systems with multiple time-delays
In this paper, the sufficient conditions of the robust stability for a class of discrete-time dynamic interval systems with multiple time-delays are obtained using the Lyapunov stability theory and some properties of spectral radius. Using the decomposition of matrix, a kind of equivalent description of the discrete-time dynamic interval systems is presented. Numerical examples have been given to illustrate the effectiveness of the proposed results. Some previously known results are generalized.
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