具有反应扩散项的双时标神经网络有限时间同步

Finite Time Synchronization of Dual Time Scale Neural Networks with Reaction-diffusion Terms

本文中我们针对一种含有反应扩散项的双时标神经网络在有限时间上的同步问题进行了研究。首先,根据有限时间内稳定性理论引入了该网络在有限时间内的稳定性结果。然后,我们设计了一个指数状态反馈控制器,通过构造一个合适的Lyapunov函数,利用一些不等式技巧进行了理论证明。最后,通过仿真验证我们结果的有效性。

In this paper,we study the synchronization problem of a two-time-scale neural network with a reaction-diffusion term in finite time.Firstly,according to the finite-time stability theory,the stability results of the network in a finite time are introduced.Then,we design an exponential state feedback controller,and use some inequality tricks to theoretically prove it by constructing a suitable Lyapunov function.Finally,the validity of our results is verified by simulation.