Synchronization of complex dynamical networks with time-varying delays via impulsive distributed control

  • Authors:

  • Zhi-Hong Guan;Zhi-Wei Liu;Gang Feng;Yan-Wu Wang

  • Affiliations:

  • Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China;Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China;Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Kowloon, Hong Kong;Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China

  • Venue:
  • IEEE Transactions on Circuits and Systems Part I: Regular Papers
  • Year:
  • 2010

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Abstract

In this paper, the synchronization of complex dynamical networks (CDNs) with system delay and multiple coupling delays is studied via impulsive distributed control. The concept of control topology is introduced to describe the whole controller structure, which consists of some directed connections between nodes. The control topology can be designed either to be the same as the non-delayed coupling topology of the network, or to be independent of the intrinsic network topology. Based on the concept of control topology, an impulsive controller is designed to achieve the exponential synchronization of CDNs, and moreover, the exponential convergence rate can be specified. Illustrated examples have been given to show the effectiveness of the proposed impulsive distributed control strategy.