基于LMI方法的多时滞随机神经网络的指数稳定性

Exponential Stability for Stochastic Neural Networks with Multiple Delays:an LMI Approach

研究了一类具有多个时滞的随机神经网络的均方指数稳定性问题,应用Lyapunov-Krasovskii泛函稳定理论和线性矩阵不等式(LMI)方法,建立了该系统解的指数稳定判别准则,最后通过数值举例阐述了结果的有效性.

This paper studies mean square exponential stability for a class of stochastic neural networks with multiple constant or time-varying delays. Based on the Lyapunov-Krasovskii stability theory, new stability criterion is derived in terms of the linear matrix inequalities （LMIs） for these networks. Some examples are also presented as illustration.