Event-triggered asynchronous intermittent communication strategy for synchronization in complex dynamical networks.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date:

Abstract

This paper presents a new framework for synchronization of complex network by introducing a mechanism of event-triggering distributed sampling information. A kind of event which avoids continuous communication between neighboring nodes is designed to drive the controller update of each node. The advantage of the event-triggering strategy is the significant decrease of the number of controller updates for synchronization task of complex networks involving embedded microprocessors with limited on-board resources. To describe the system's ability reaching synchronization, a concept about generalized algebraic connectivity is introduced for strongly connected networks and then extended to the strongly connected components of the directed network containing a directed spanning tree. Two sufficient conditions are presented to reveal the underlying relationships of corresponding parameters to reach global synchronization based on algebraic graph, matrix theory and Lyapunov control method. A positive lower bound for inter-event times is derived to guarantee the absence of Zeno behavior. Finally, a numerical simulation example is provided to demonstrate the theoretical results.

Authors

  • Huaqing Li
    School of Electronic and Information Engineering, Southwest University, Chongqing 400715, PR China; School of Electrical and Information Engineering, The University of Sydney, Sydney 2006, Australia. Electronic address: huaqingli@hotmail.com.
  • Xiaofeng Liao
    MultiScale Networked Systems (MNS), University of Amsterdam, Amsterdam, Netherlands, 1098 XK, The Netherlands.
  • Guo Chen
    Department of Orthopedics, West China Hospital, Sichuan University, Chengdu Sichuan, 610041, P.R.China.
  • David J Hill
    School of Electrical and Information Engineering, The University of Sydney, Sydney 2006, Australia; Department of Electrical and Electronic Engineering, The University of Hong Kong, Hong Kong. Electronic address: dhill@eee.hku.hk.
  • Zhaoyang Dong
    School of Electrical and Information Engineering, The University of Sydney, Sydney 2006, Australia. Electronic address: joe.dong@sydney.edu.au.
  • Tingwen Huang