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| 具有变时滞的离散切换系统的时滞依赖稳定性的新判据 | |
| 引用本文： | 熊良林,钟守铭,叶茂. 具有变时滞的离散切换系统的时滞依赖稳定性的新判据[J]. 数学研究及应用, 2011, 31(2): 224-232. DOI: 10.3770/j.issn:1000-341X.2011.02.005 |
| 作者姓名： | 熊良林 钟守铭 叶茂 |
| 作者单位： | 云南民族大学雨花校区数学与计算机科学学院, 云南 昆明 650500; 电子科技大学应用数学学院, 四川 成都 610054;电子科技大学应用数学学院, 四川 成都 610054; 电子科技大学神经信息教育部重点实验室, 四川 成都 610054;电子科技大学计算机科学与工程学院, 四川 成都 610054 |
| 基金项目： | 国家自然科学基金(Grant No.60736029), 教育部新世纪优秀人才支持计划基金资助项目(Grant No.06-0811). |
| 摘 要： | This paper deals with the issues of robust stability for uncertain discrete-time switched systems with mode-dependent time delays.Based on a novel difference inequality and a switched Lyapunov function,new delay-dependent stability criteria are formulated in terms of linear matrix inequalities （LMIs） which are not contained in known literature.A numerical example is given to demonstrate that the proposed criteria improves some existing results significantly with much less computational effort. |
| 关 键 词： | discrete-time switched system difference inequality switched Lyapunov function delay-dependent stability linear matrix inequality （LMI） |
| 收稿时间： | 2009-02-26 |
| 修稿时间： | 2009-05-15 |
New Delay-Dependent Stability of Uncertain Discrete-Time Switched Systems with Time-Varying Delays |
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| Liang Lin XIONG,Shou Ming ZHONG and Mao YE. New Delay-Dependent Stability of Uncertain Discrete-Time Switched Systems with Time-Varying Delays[J]. Journal of Mathematical Research with Applications, 2011, 31(2): 224-232. DOI: 10.3770/j.issn:1000-341X.2011.02.005 | |
| Authors: | Liang Lin XIONG Shou Ming ZHONG Mao YE |
| Affiliation: | 1. School of Mathematics and Computer Science, Yunnan Nationalities University, Yunnan 650031,P. R. China;School of Applied Mathematics, University of Electronic Science and Technology of China,Sichuan 610054, P. R. China 2. School of Applied Mathematics, University of Electronic Science and Technology of China,Sichuan 610054, P. R. China;Key Laboratory for NeuroInformation of Ministry of Education, University of Electronic Scienceand Technology of China, Sichuan 610054, P. R 3. School of Computer Science and Engineering, University of Electronic Science and Technology of China, Sichuan 610054, P. R. China |
| Abstract: | This paper deals with the issues of robust stability for uncertain discrete-time switched systems with mode-dependent time delays. Based on a novel difference inequality and a switched Lyapunov function, new delay-dependent stability criteria are formulated in terms of linear matrix inequalities (LMIs) which are not contained in known literature. A numerical example is given to demonstrate that the proposed criteria improves some existing results significantly with much less computational effort. |
| Keywords: | discrete-time switched system difference inequality switched Lyapunov function delay-dependent stability linear matrix inequality (LMI). |
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