State feedback control for uncertain switched systems with interval time‐varying delay |
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| Authors: | Limin Wang Cheng Shao Xuanyu Liu |
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| Affiliation: | 1. College of Sciences, Liaoning Shihua University, Fushun, 113001, China;2. Institute of Advanced Control Technology, Dalian University of Technology, Dalian, 116024, China;3. School of Computer and Communication Engineering, Liaoning Shihua University, Fushun, 113001, China |
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| Abstract: | Stability criteria and hybrid controllers' design problems for a class of uncertain switched systems with interval time‐varying delay are considered in this paper. Based on the average dwell time method, by choosing a new appropriate Lyapunov‐Krasovskii functional which fully utilizes the information of both the lower and upper bounds of the interval time‐varying delay, new delay‐range‐dependent stability criteria and stabilization conditions are first derived in terms of linear matrix inequalities. Moreover, in order to obtain much less conservative results, a tighter bounding for some terms is estimated and no redundant matrix variable is introduced. Finally, two numerical examples are given to demonstrate the applicability and the effectiveness of the proposed method. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society |
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| Keywords: | Switched systems exponential stabilization delay‐range‐dependent piecewise Lyapunov functional controller design |
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