Passive synchronization of network of oscillators with delays: Application to antenna arrays

F. Hutu, S. Cauet, P. Coirault
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Abstract

In this paper, time delays effects on network synchronization are tackled in the case of a network of a diffusely coupled identical systems. It is assumed that the parameters of the networks are in a polytope. Using Lyapunov methods and LMI (Linear matrix inequality) framework coupled to dissipativity theory, a new condition is given to assure global exponential synchronization. The approach is successfully applied to network of oscillators used in smart antenna application.
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带延迟振荡器网络的无源同步:在天线阵列上的应用
本文研究了扩散耦合相同系统网络中时延对网络同步的影响。假设网络的参数为多面体。利用Lyapunov方法和线性矩阵不等式框架,结合耗散率理论,给出了全局指数同步的一个新条件。该方法已成功应用于智能天线中的振子网络。
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