A new criterion to global exponential stability for impulsive neural networks with continuously distributed delays |
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Authors: | Guanghui Sun Xiaodi Li |
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Institution: | 1. Department of Mathematics and Physics, Shandong Jiaotong University, Jinan 250023, People's Republic of China;2. School of Mathematical Sciences, Xiamen University, Xiamen 361005, People's Republic of China |
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Abstract: | This paper considers the global exponential stability and exponential convergence rate of impulsive neural networks with continuously distributed delays in which the state variables on the impulses are related to the unbounded distributed delays. By establishing a new impulsive delay differential inequality, a new criterion concerning global exponential stability for these networks is derived, and the estimated exponential convergence rate is also obtained. The result extends and improves on earlier publications. In addition, two numerical examples are given to illustrate the applicability of the result. Copyright © 2010 John Wiley & Sons, Ltd. |
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Keywords: | impulsive neural networks stability continuously distributed delays impulsive delay differential inequality |
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