Global Bounded Synchronization of General Dynamical Networks With Nonidentical Nodes
Global Bounded Synchronization of General Dynamical Networks With Nonidentical Nodes
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DOI：
10.1109/tac.2012.2190206
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发表时间：
2012-03
影响因子：
6.8
通讯作者：
Jun Zhao;D. Hill;Tao Liu
中科院分区：
文献类型：
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作者：
Jun Zhao;D. Hill;Tao Liu
本说明解决了具有不同节点的一般动态网络的同步问题。这种网络中的耦合强度、外部耦合配置和内部连接都是随时间变化的。假设每个节点都不存在平衡，也不假设存在同步流形。给出了一般类时变非线性系统的收敛域的估计。通过引入所有节点的平均动态并基于该估计，开发了节点之间最大状态偏差有界意义上的全局同步准则。通过每个节点动态与平均动态之间的最大差值来获得节点之间最大状态偏差的显式界限。所提出的标准是针对相同节点的情况到不同节点的情况的几个相关同步标准的扩展。
This note addresses the problem of synchronization for general dynamical networks with nonidentical nodes. The coupling strength, outer coupling configuration and inner connection in such networks are all time varying. Neither an equilibrium for each node nor a synchronization manifold is assumed to exist. An estimate of the convergence domain for a general class of time-varying nonlinear systems is given. By introducing the average dynamics of all nodes and based on this estimate, a criterion of global synchronization in the sense of boundedness of the maximum state deviation between nodes is developed. An explicit bound of the maximum state deviation between nodes is obtained by the maximum difference between each node dynamics and the average dynamics. The proposed criterion is an extension of several related synchronization criteria for the case of identical nodes to the case of nonidentical nodes.