Improved exponential estimates for neutral systems |
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| Authors: | Zhan Shu James Lam Shengyuan Xu |
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| Affiliation: | 1. Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong;2. Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, China |
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| Abstract: | Improved exponential estimates and a new sufficient condition for the exponential stability of neutral type time‐delay systems are established in terms of linear matrix inequalities (LMIs). A new Lyapunov‐Krasovskii functional candidate with appropriately constructed exponential terms is introduced to prove the exponential stability and to reduce the conservatism. For the uncertain case, a corresponding condition for the robust exponential stability is also given. It is shown by numerical examples that the proposed conditions are less conservative than existing results. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society |
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| Keywords: | Exponential estimates linear matrix inequalities neutral time‐delay systems uncertain systems |
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