时滞离散动态网络的牵制同步

Pinning synchronization of delayed discrete dynamical networks

在网络数字化迅速发展的今天,由于计算机模拟和计算使得离散动力系统在许多科学和工程领域中得到广泛的应用,如图像处理、系统识别等,因此离散系统的同步问题依然是当今研究的热点。本文基于牵制控制法、Lyapunov稳定性定理和线性矩阵不等式等方法,研究了具有时滞的非线性耦合的离散时间复杂系统在牵制控制下的同步问题,并给出了同步准则。进一步,利用Rulkov混沌系统验证了同步准则的有效性。

In today＇s digital world,due to computer simulation and computation,discrete dynamic systems have been widely applied in many fields of science and engineering. such as image processing,and system identification etc. Therefore,the synchronization of discrete systems is still a hot topic. This paper based on pinning control method,Lyapunov functions,and linear matrix inequalities,studied the pinning synchronization for delayed discrete dynamical networks with coupling,several synchronization criteria are obtained. Moreover,numerical example based on Rulkov chaos system have been verified effectiveness of the synchronization criterion.