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Impulsive Synchronization of Fractional-order Delayed Gene Regulatory Network Based on Comparative System Method

Feng Liu  Shaoqiang Ye  Shiqi Zheng  Hua O Wang  
【摘要】:In this paper, we study the fractional-order delayed gene regulatory network based on the comparative system method.First, we introduced the concept of fractional differential. We use Lyapunov direct method to prove the impulsive synchronization. For the oscillation behavior of a fractional-order system with time delay, we apply the pulse to control its synchronization. Finally, we verify the correctness of our theory through experiment.

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