4.7 Article

Finite-time synchronization for memristor-based neural networks with time-varying delays

Journal

NEURAL NETWORKS
Volume 69, Issue -, Pages 20-28

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2015.04.015

Keywords

Memristor; Finite-time synchronization; Neural network; Time-varying delay

Funding

  1. Excellent Doctor Innovation Program of Xinjiang University [XJUBSCX-2013006]
  2. National Natural Science Foundations of PR China [61473244, 61164004]
  3. Excellent Doctor Innovation Program of Xinjiang Uyghur Autonomous Region [XJGRI2014013]

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Memristive network exhibits state-dependent switching behaviors due to the physical properties of memristor, which is an ideal tool to mimic the functionalities of the human brain. In this paper, finite-time synchronization is considered for a class of memristor-based neural networks with time-varying delays. Based on the theory of differential equations with discontinuous right-hand side, several new sufficient conditions ensuring the finite-time synchronization of memristor-based chaotic neural networks are obtained by using analysis technique, finite time stability theorem and adding a suitable feedback controller. Besides, the upper bounds of the settling time of synchronization are estimated. Finally, a numerical example is given to show the effectiveness and feasibility of the obtained results. (C) 2015 Elsevier Ltd. All rights reserved.

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