Augmented Lyapunov functional approach for stability of neutral systems with mixed delays |
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| Authors: | Wei Qian Juan Liu Shumin Fei |
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| Affiliation: | 1. School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, Henan, China;2. Department of Mathematics, Henan Polytechnic University, Jiaozuo 454000, Henan, China;3. School of Automation, Southeast University, Nanjing 454000, Jiangsu, China |
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| Abstract: | This paper is concerned with the neutral‐delay‐dependent and discrete‐delay‐dependent stability for uncertain neutral systems with mixed delays and norm‐bounded uncertainties. Through constructing a new augmented Lyapunov‐Krasovskii functional and proving its positive definiteness, introducing some slack matrices and using integral inequality, the improved delay‐dependent stability criteria are derived in terms of linear matrix inequalities. Numerical examples are given to illustrate the significant improvement on the conservatism of the delay bound over some existing results. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society |
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| Keywords: | Neutral systems robust stability Lyapunov functional mixed delays linear matrix inequality |
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