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Synchronization in Dynamic Networks with Time-varying Delay Coupling Based on Linear Feedback Controllers
基于线性反馈控制器的时变时滞动态网络中的同步

Keywords: Complex network,synchronization,time-varying delay,asymmetric coupling,linear state feedback
复杂网络
,同步,时变时滞,非对称耦合,线性状态反馈

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Abstract:

This paper focuses on the synchronization problems of general complex dynamical networks with time-varying delay. Two cases of the time-varying delay are considered---one being continuous-uniformly bounded and the other being differentiable-uniformly bounded with the derivative. And the coupling configuration matrix is also assumed to be asymmetric and reducible. Some new delay-dependent synchronization criteria are derived and a strategy for synchronization is presented based on a method of linear state feedback controller. The bounds of controller are solved by Matlab. Numerical examples are given to illustrate the effectiveness of the proposed synchronization criteria.

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