二阶Hopfield型神经网络的稳定性分析及收敛速度的估计

Stability Analysis and Estimation of Convergence Rate for Second Order Hopfield Neural Networks

本文讨论二阶连续Hopfield型神经网络平衡点的全局稳定性问题 ,利用LMI方法和Lyapunov方法得到了网络平衡点全局渐近稳定和全局指数稳定的几个充分条件 ,并对其指数收敛速度进行了估计 .

Global stability of equilibrium point of a class of second order Hopfield neural networks is discussed in this paper. Some sufficient conditions for the global asymptotic stability and global exponential stability of equilibrium point of such networks are obtained by means of Lyapunov functions and linear matrix inequalities (LMI'S), the exponential convergence rate of equilibrium point is also estimated.