一类模糊神经网络的多稳定

Multistability of a Class of Fuzzy Neural Networks

摘要: 在这篇文章中，主要应用了压缩映射原理以及区间分割的方法，获得了一些保证n维模糊神经网络有不超过3ⁿ个平衡点的简洁条件，其中，有2ⁿ个局部指数稳定的平衡点。这些条件改进和拓展了现有的一些结果。此外，相关数值算例说明了本文理论结果的有效性。

Abstract: In this article, some sufficient conditions are obtained to guarantee that the n-dimensional fuzzy neural network can have not more than 3ⁿ equilibrium points by using the method of the com-pression mapping principle and interval segmentation. Moreover, there are 2ⁿ locally exponentially stable equilibrium points. These conditions can be developed from the improvement and extension of the existed ones. The validity of theoretical results is shown in one illustrative example.