Computer Engineering and Applications ›› 2015, Vol. 51 ›› Issue (9): 41-45.

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Finite-time generalized outer synchronization of time-varying couple complex networks

TIAN Wenxiu, TAN Manchun, ZHOU Xuan   

  1. Department of Mathematics, Jinan University, Guangzhou 510632, China
  • Online:2015-05-01 Published:2015-05-15

时变耦合复杂网络的有限时间广义外部同步

田文秀,谭满春,周  璇   

  1. 暨南大学 数学系,广州 510632

Abstract: The finite-time generalized outer synchronization between two complex networks with time-varying coupling matrix  is investigated. The finite-time controller is designed to ensure that two networks can achieve outer synchronization in finite time. Sufficient conditions for the finite-time outer synchronization are derived based on the finite-time stability theory of differential equations. An example is provided to illustrate the effectiveness of the proposed method.

Key words: complex networks, outer synchronization, finite-time synchronization, time-varying coupling matrix

摘要: 研究了两个具有时变耦合矩阵的复杂动态网络的有限时间广义外部同步的问题。设计了有限时间控制器, 使两个网络能在有限时间内实现外部同步。利用微分方程的有限时间稳定性理论,得到了复杂网络实现有限时间外部同步的充分条件。为了验证所提方案的有效性,给出了仿真算例,算例验证了有限时间广义外部同步方案的有效性。

关键词: 复杂网络, 外部同步, 有限时间同步, 时变耦合矩阵