具分布时滞模糊BAM神经网络的指数稳定性

Exponential Stability of Fuzzy BAM Neural Networks with Distributed Delay

介绍了一类具分布时滞的模糊BAM(bi-directional associative memory)神经网络。通过构造Lyapunov-Krasovskii泛函及利用线性矩阵不等式方法,得到了此类系统平衡点的指数稳定性的一个充分条件。在设计具时滞的人工BAM神经网络时,全局指数稳定的结果有很重要的意义。此外,给出一个实例说明我们的结果是可行的。

In this paper, we introduce a class of fuzzy bi-directional associative memory （BAM） neural networks with distributed delays. By using Linear Matrix Inequality （LMI） approach and general Lyapunov-Krasovskii functional, some sufficient conditions are derived to ensure the exponential stability with distributed delays. These results have an important meaning in the design globally exponentially stable BAM networks with delays. Moreover, an example is given to illustrate that the conditions of our results are feasible.