不动点方法与概率时滞脉冲模糊系统的稳定性

通过在完备距离空间上定义压缩映射,利用T-S模糊规则、概率时滞的相关性质和压缩映像原理导出了一类T-S模糊概率时滞脉冲双向联想记忆神经网络的稳定性的代数判据.特点在于,导出系统解的存在性的同时给出了该解的稳定性结论.最后,数值实例证实了所述方法的有效性.

The Fixed Point Theorem and the Stability of Fuzzy Impulsive Systems with Probability Time-Delays

By defining a contraction mapping on a complete distance space, the authors employ the T-S fuzzy rule, probabilistic time-delay property and contraction mapping principle to derive an algebraic criterion for the stability of a class of T-S fuzzy probabilistic time-delay impulsive Bidirectional Associative Memory neural networks. Remarkably, the stability of the solution is given as soon as the existence of the solution of the system is derived. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.