L-two-gain stability analysis of perturbed Hopfield neural networks
受扰Hopfield神经网络L2增益稳定性分析

The gain L 2_stability of perturbed Hopfield neural networks is investigated by using methods of studying finite_gain stability of control systems. Sufficient conditions are provided under which not only L 2_gain stability of perturbed networks but also existence and global asymptotically stability of unique equilibrium of the corresponding unperturbed networks are guaranteed. In addition, the L 2_gain from perturbation to state is estimated, which is formulated by networks'parameters.