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Synchronization research of a modified time-delayed multi-agent network model
Authors:Yu-liang Liu  Jie Zhu  Da-wei Ding
Institution:(1) School of Electronic, Information and Electrical Engineering, Shanghai Jiaotong University, Shanghai, 200240, China;(2) School of Electromechanical Engineering, Zhejiang Ocean University, Zhoushan, 316004, Zhejiang, China
Abstract:The synchronization of time-delayed multi-agent networks with connected and directed topology is studied. Based on the correlative work about the agent synchronization, a modified model is presented, in which each communication receiver is distributed a delay τ. In addition, a proportional term k is introduced to modulate the delay range and to guarantee the synchronization of each agent. Two new parameters mentioned above are only correlative to the network topology, and a theorem about their connections is derived by both frequency domain method and geometric method. Finally, the theoretical result is illustrated by numerical simulations. Foundation item: the National Natural Science Foundation of China (No. 70571017) and the Research Foundation from Provincial Education Department of Zhejiang of China (No. 20070928)
Keywords:synchronization  time delay  multi-agent network  communication receiver
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