【摘要】 借助于李雅谱洛夫理论、矩阵分析方法和It?公式,结合不等式分析技巧,研究了随机细胞神经网络系统的均方指数稳定性,给出了系统的解的二阶矩Liapunov指数估计式和均方指数稳定的充分条件。更多还原

【Abstract】 In this paper, the stability of stochastic cellular neural networks is studied. The cellular neural networks have become one of the hot study field internationally because of the important applications of the cellular neural networks theory. With the help of Liapunov theory, the method of matrix analysis, the mean square exponential stability of the stochastic cellular networks is studied. Then the second-order matrix Liapunov exponential estimation formula for the solution to the system is given. And the sufficient conditions of the mean square exponential stability for the solution are also given.更多还原