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 in
Global exponential stability for a class of generalized delayed neural networks with impulses
β Scribed by Qiang Xi
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 152 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1451
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β¦ Synopsis
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 global exponential stability is obtained. The result is related to the size of delays and impulses. An example is given to illustrate the effectiveness of our result.
π SIMILAR VOLUMES
In this paper, by utilizing the Lyapunov functionals, the analysis method and the impulsive control, we analyze the exponential stability of Hopfield neural networks with time-varying delays. A new criterion on the exponential stabilization by impulses and the exponential stabilization by periodic i
## Abstract This paper proposes a class of more general model of recurrent neural networks with __functional__ delay, which has been found more suitable to apply directly. Simple and easily checkable conditions of existence, uniqueness, and global exponential stability of periodic solution for the