4.5 Article

Robust adaptive synchronization of uncertain complex networks with multiple time-varying coupled delays

Journal

COMPLEXITY
Volume 20, Issue 6, Pages 62-73

Publisher

WILEY-HINDAWI
DOI: 10.1002/cplx.21531

Keywords

complex network; synchronization; multiple time-delay; adaptive control; unified chaotic system; uncertainty

Funding

  1. Research Foundation of Department of Education of Sichuan Province [14ZA0203, 14ZB0210]
  2. Open Foundation of Enterprise Informatization and Internet of Things Key Laboratory of of Sichuan Province [2013WYY06]
  3. Open Foundation of Artificial Intelligence Key Laboratory of Sichuan Province [2014RYY02, 2013RYJ01, 2012RYJ01]
  4. National Natural Science Foundation of China [61203001]
  5. Science Foundation of Sichuan University of Science Engineering [2012KY19]

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In this article, the synchronization problem of uncertain complex networks with multiple coupled time-varying delays is studied. The synchronization criterion is deduced for complex dynamical networks with multiple different time-varying coupling delays and uncertainties, based on Lyapunov stability theory and robust adaptive principle. By designing suitable robust adaptive synchronization controllers that have strong robustness against the uncertainties in coupling matrices, the all nodes states of complex networks globally asymptotically synchronize to a desired synchronization state. The numerical simulations are given to show the feasibility and effectiveness of theoretical results. (c) 2014 Wiley Periodicals, Inc. Complexity 20: 62-73, 2015

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