含脉冲的Hopfield神经网络的周期解及其全局指数稳定

Periodic Solutions and Exponential Stability in Hopfield Neural Network with Impulse and Design of Impulsive Controllers

利用常数变易法、分段Lyapunov函数和压缩映像定理,讨论了含脉冲的Hopfield神经网络模型的周期振荡性及其全局指数稳定性.在此基础上给出了网络稳定的脉冲控制器.所得结果易于验证,也是不含脉冲时一些结果的推广.

For the model about neural network with impulse, the authors discuss the existence and uniqueness of periodic solution and the global exponential stability by constructing suitable Lyapunov functions. In addition, the impulsive controllers are gained to stabilize HNN. Two examples are given to illustrate the theory.