结合Takagi-Sugeno(TS)模糊系统的研究成果.讨论一类具有参数不确定和随机干扰的模糊神经网络的鲁棒稳定性问题.通过运用Lyapunov稳定性理论,结合随机分析方法,以线性矩阵不等式的形式,建立该系统全局鲁棒稳定的判别准则.以准则推广一些已有文献的结果,具有更小的保守性.数值算例证明了结果的有效性.
A class of global robust stability problem in fuzzy neural network with parameter uncertainty and stochastic perturbation was investigated on the basis of investigation results of Takagi-Sugeno(TS) fuzzy system. Based on the Lyapunov's stability theory and using stochastic analysis approach, a judge- ment criterion was set up for the globally robust stability of this system in terms of linear matrix inequali- ties and this criterion generalized the results given by the literatures available, exhibiting less conservative character. A numerical computation example verified the effectiveness of the result.