摘要
利用构造Lyapunov函数的方法讨论了带反应扩散项的变时滞细胞神经网络全局指数稳定性.在输出响应函数有界且满足Lipschitz条件和系统满足文章所给的条件下,得到了判定该类网络解的全局指数稳定性.
In this paper, global exponential stability is investigated for cellular neural networks with reaction-diffusion and time-varying delays by the use of Lyapunov-function. Assume that each output function is bounded on R and satisfies the Lipschitz condition and some conditions given by this paper, then the new result is obtained for the global exponential stability of the system.
出处
《河南科学》
2008年第7期761-764,共4页
Henan Science
关键词
反应扩散
变时滞
细胞神经网络
全局指数稳定性
reaction-diffusion
time-varying delays
cellular neural networks
global exponential stability