✦ LIBER ✦

A new criterion to global exponential stability for impulsive neural networks with continuously distributed delays

✍ Scribed by Guanghui Sun; Xiaodi Li

Publisher: John Wiley and Sons
Year: 2010
Tongue: English
Weight: 170 KB
Volume: 33
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1322

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✦ Synopsis

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.

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✍ Qiang Xi 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 152 KB

In this paper, by utilizing Lyapunov functional method, the quality of negative definite matrix and the linear matrix inequality approach, the global exponential stability of the equilibrium point for a class of generalized delayed neural networks with impulses is investigated. A new criterion on gl