Synchronization in arrays of coupled nonlinear systems with delay and nonreciprocal time-varying coupling
Synchronization in arrays of coupled nonlinear systems with delay and nonreciprocal time-varying coupling
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DOI：
10.1109/tcsii.2005.846884
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发表时间：
2005-07
期刊：
影响因子：
--
通讯作者：
C. Wu
中科院分区：
文献类型：
--
作者：
C. Wu
研究了一组具有时滞和非互易时变耦合的耦合非线性系统的同步问题，并给出了推广以往同步结果的同步准则。证明了当非延迟耦合项足够大且具有协作性时，阵列是同步的。此外，我们还证明了同步准则与描述耦合拓扑的几个矩阵量有关。这些量可以被认为是有向图的代数连通性概念的推广。
We study synchronization in an array of coupled nonlinear systems with delay and nonreciprocal time-varying coupling and present synchronization criteria which generalize previous synchronization results. We show that the array synchronizes when the nondelay coupling term is cooperative and large enough. Furthermore, we show that the synchronization criteria are related to several matrix quantities describing the coupling topology. These quantities can be considered as generalizations of the concept of algebraic connectivity to directed graphs.