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一类具有时滞的多层耦合复杂网络牵制同步

Pinning synchronization of multilayer coupled complex networks with time delays

  • 摘要: 本文研究了一类同时含时滞和噪声的多层复杂网络的牵制控制同步问题。考虑到实际网络中子网络连接的多样性,建立了具有包含层内与层间耦合的多层复杂动态网络模型。为提高多层耦合网络的同步效率,基于Lyapunov稳定性理论和LaSalle型不变原理,提出了一种牵制控制同步策略。该策略仅对多层耦合网路中少数节点施加控制,即可实现所有节点状态变量的运动轨迹与目标周期轨道同步,并有效抑制时滞和噪声对系统造成的干扰。最后,通过数值仿真验证了所提方法的有效性和可行性。

     

    Abstract: This study addresses the pinning synchronization problem in multilayer complex dynamic networks with time delays and noise. Considering the diversity of sub-network connections in real networks, a complex dynamic network model with intra-layer and inter-layer coupling was established. To enhance the synchronization efficiency of multi-layer coupled networks, a pinning control synchronization strategy was proposed based on Lyapunov stability theory and LaSalle’s invariance principle. By controlling only a small fraction of nodes in the multilayer coupled network, all node state trajectories are synchronized to the target periodic orbit, while effectively compensating for delays and noise. Finally, numerical simulations verify the effectiveness and feasibility of the proposed method.

     

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