Chen Maoyin, Zhou Donghua
Institute of Process Control, Department of Automation, Tsinghua University, Beijing 100084, People's Republic of China.
Chaos. 2006 Mar;16(1):013101. doi: 10.1063/1.2126581.
We consider the problem of synchronization in uncertain generic complex networks. For generic complex networks with unknown dynamics of nodes and unknown coupling functions including uniform and nonuniform inner couplings, some simple linear feedback controllers with updated strengths are designed using the well-known LaSalle invariance principle. The state of an uncertain generic complex network can synchronize an arbitrary assigned state of an isolated node of the network. The famous Lorenz system is stimulated as the nodes of the complex networks with different topologies. We found that the star coupled and scale-free networks with nonuniform inner couplings can be in the state of synchronization if only a fraction of nodes are controlled.
我们考虑不确定一般复杂网络中的同步问题。对于节点动力学未知且耦合函数未知（包括均匀和非均匀内部耦合）的一般复杂网络，利用著名的拉萨尔不变性原理设计了一些具有更新强度的简单线性反馈控制器。不确定一般复杂网络的状态可以与网络中孤立节点的任意指定状态同步。以具有不同拓扑结构的复杂网络节点来模拟著名的洛伦兹系统。我们发现，对于具有非均匀内部耦合的星型耦合网络和无标度网络，只要控制一部分节点就能实现同步状态。
