H∞ synchronization control in nonlinear time-delay complex dynamical network

  • Authors:
  • Ting Xiang;Minghui Jiang

  • Affiliations:
  • Institute of Nonlinear Complex Systems, College of Science, China Three Gorges University, Yichang, Hubei, China;Institute of Nonlinear Complex Systems, College of Science, China Three Gorges University, Yichang, Hubei, China

  • Venue:
  • ISNN'11 Proceedings of the 8th international conference on Advances in neural networks - Volume Part I
  • Year:
  • 2011

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Abstract

On the basis of Lyapunov stability theory and LMI technique, this paper investigates H∞ synchronization control of time-varying synchronization state in general complex networks with time-delay and external disturbances. H∞ synchronization controllers have been designed for nodes of controlled network and the H∞ control law for asymptotically (exponentially) synchronization are derived via defining an appropriate controlled output. Besides, under the desired H∞ performance index, the control criteria which guarantee complex networks synchronization with a time-varying state are revealed by LMI. Finally, a simulation example is given to demonstrate the effectiveness of the theoretical results.