具扩散项的模糊BAM神经网络的指数稳定性(英文)

Exponential Stability of Fuzzy BAM Neural Networks with Diffusion

利用Lyapunov-Krasovskii泛函、线性矩阵不等式方法、不动点理论和分析技巧,讨论了一类带扩散项的模糊BAM神经网络,获得了一些充分条件确保此类系统平衡点的全局指数稳定性.并给出一个实例说明我们的结果是可行的.

In this paper, a class of Fuzzy Bi-directiotml Associative Memory（FBAM） neural networks with diffusion is discussed. By using fixed point theorem, Linear Matrix In-equality（LMI） approach, general Lyapunov-Vrasovskii functional and analytic techniques, some sufficient conditions are obtained to ensure the existence, uniqueness and global exponential stability of the equilibrium for FBAM with diffusion. An example is given to illustrate the effectiveness of our results.