研究带有脉冲的随机Cohen-Grossberg神经网络的几乎必然指数稳定性问题,基于Lyapunov稳定性理论,利用随机分析技巧和线性矩阵不等式工具,得到系统基于矩阵不等式的几乎必然指数稳定性充分条件,并通过一个例子来验证结论的有效性.
This paper focuses on the analysis of almost sure exponential stability of stochastic Cohen-Grossberg neural networks with impulse. Based on the Lyapunov stability theory, by using some stochastic analysis techniques and linear matrix inequality tool, we establish a set of sufficient conditions of almost sure exponential stability of system in terms of matrix inequalities. Finally, we give a numerical example to illustrate the effectiveness of the results obtained.