带有阈值的广义模糊双向联想记忆网络的稳定性分析

Stability analysis of generalized fuzzy bidirectional associative memory networks with thresholds

基于模糊取大算子"∨"和一类t-模"T"建立了带有阈值的∨-T型模糊双向联想记忆网络,证明了当T满足李普希兹条件时,系统的平衡点是Lyapunov稳定的,并给出系统为结构稳定的一个充分条件。最后用实例验证了结论的正确性。

Based on the fuzzy operator “ V ” and a t-norm “T”, a generalized dynamical model named the fuzzy bidi- rectional associative memory networks with thresholds was set up. It is shown that the equilibrium of the system is Lya- punov stable if T satisfies Lipschitz condition. A sufficient condition for the system to be structurally stable was also proposed. Finally, an example was given to demonstrate our conclusion.