复杂动态网络的牵制同步控制

研究了复杂动态网络的牵制同步控制。首先，阐述了一个新的动态网络，这个网络具有不同的节点结构，而且每个节点都是具有相同维数的动力系统。通过设计合适的控制器，此网络的状态将指数同步到一个稳定的状态。其次，给出了一些同步准则和一个例子去验证理论结果。MATLAB仿真结果表明，在整个网络被控制到平衡点时，在网络中随机地选择两个节点施加牵制控制，甚至仅对网络中度最大的那一个节点施加牵制控制，都能使网络的状态在很短的时间内达到同步。MATLAB仿真结果与理论分析相一致。

Pinning controlled synchronization of a complex dynamical network

In this paper, pinning controlled synchronization of a complex dynamical network is studied. Firstly, a new complex dynamical network model is introduced, in which the nodes of the network are different and each node is a dynamical system with the same dimension. States of the network can exponentially synchronize onto a homogeneous stationary state by designing appropilate controller. Then some synchronization criteria and an example are presented to validate the theoretical results. MATLAB simulation results show that by controlling the two nodes selected randomly and even just controlling the greatest degree node of the network, states of the network can achieve synchronization quickly when the whole network is controlled to the equilibrium point. In a word, the numerical simulations coincide with theoretical analysis.