In this paper recurrent neural networks with time-varying delays and continuously distributed delays are considered. Sufficient conditions for the existence and exponential stability of the anti-periodic solutions are established, which are new and complement previously known results.
Numerical simulation of periodic solutions for a class of numerical discretization neural networks
β Scribed by Chun Lu; Xiaohua Ding; Mingzhu Liu
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 376 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0895-7177
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β¦ Synopsis
In this paper, the existence and global exponential stability of periodic solutions for a class of numerical discretization neural networks are investigated. Using coincidence degree theory and the Lyapunov method, sufficient conditions for the existence and global exponential stability of periodic solutions are obtained. Numerical simulations are given at the end of this paper.
π SIMILAR VOLUMES
In this short communication Cohen-Grossberg neural network with neutral delays is studied by means of an abstract theorem of k-set contractive operator and some analysis techniques. Sufficient conditions are obtained for the existence of periodic solutions.