JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2013, Vol. 43 ›› Issue (2): 48-53.

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Finite-time outer synchronization of complex dynamical networks

LI Wang1,2, SHI Yong2, MA Ji-wei2   

  1. 1. Jiangsu Xuzhou Medicine Vocational School, Xuzhou 221116, China;
    2. School of Science, China University of Mining and Technology, Xuzhou 221008, China
  • Received:2012-08-24 Online:2013-04-20 Published:2012-08-24
  • Supported by:

    国家自然科学基金资助项目(11226150,61203304,61203055);中央高校基本科研业务费专项资金资助项目(2011QNA26);国家级大学生创新训练计划资助项目(201210290089)

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Abstract:

The finite-time outer synchronization between two coupled complex dynamical networks was investigated. The continuous finite-time controller was designed to ensure that two networks can achieve outer synchronization in finite time. Sufficient conditions for the finite-time outer synchronization were derived based on the finite-time stability theory of differential equations. Finally, numerical examples were examined to illustrate the effectiveness of the analytical results. The effect of control parameters on the synchronization time was also numerically demonstrated.

Key words: Complex networks, Finitetime synchronization, Outer synchronization, Nonlinear coupling

CLC Number: 

  • TP13
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