| New Delay-Dependent Stability of Uncertain Discrete-Time Switched Systems with Time-Varying Delays |
| Received:February 26, 2009 Revised:May 15, 2009 |
| Key Words:
discrete-time switched system difference inequality switched Lyapunov function delay-dependent stability linear matrix inequality (LMI).
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.60736029) and by the Program for New Century Excellent Talents in University (Grant No.06-0811). |
| Author Name | Affiliation | | Liang Lin XIONG | 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 | | Shou Ming ZHONG | 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 Science and Technology of China, Sichuan 610054, P | | Mao YE | School of Computer Science and Engineering, University of Electronic Science and Technology of China, Sichuan $610054$, P. R. China |
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| 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2011.02.005 |
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