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Exponential Synchronization of Complex Networks of Linear Systems and Nonlinear Oscillators: A Unified Analysis

机译:线性系统和非线性振荡器复杂网络的指数同步:统一分析

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摘要

A unified approach to the analysis of synchronization for complex dynamical networks, i.e., networks of partial-state coupled linear systems and networks of full-state coupled nonlinear oscillators, is introduced. It is shown that the developed analysis can be used to describe the difference between the state of each node and the weighted sum of the states of those nodes playing the role of leaders in the networks, thus making it feasible to consider the error dynamics for the whole network system. Different from the other various methods given in the existing literature, the analysis employed in this paper is demonstrated successfully in not only providing the consistent convergence analysis with much simpler form, but also explicitly specifying the convergence rate.
机译:介绍了一种用于分析复杂动态网络(即部分状态耦合线性系统的网络和全状态耦合非线性振荡器的网络)的同步的统一方法。结果表明,所开发的分析方法可用于描述每个节点的状态与在网络中扮演领导者角色的那些节点的状态加权总和之间的差异,从而使考虑网络的误差动态成为可行的。整个网络系统。与现有文献中给出的其他各种方法不同,本文所采用的分析不仅以简单得多的形式提供了一致的收敛性分析,而且还明确指定了收敛速度,从而得到了成功的证明。

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