Hybrid impulsive and switching Hopfield neural networks with state-dependent impulses.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date: May 24, 2017

Abstract

We discuss the global stability of switching Hopfield neural networks (HNN) with state-dependent impulses using B-equivalence method. Under certain conditions, we show that the state-dependent impulsive switching systems can be reduced to the fixed-time ones, and that the global stability of corresponding comparison system implies the same stability of the considered system. On this basis, a novel stability criterion for the considered HNN is established. Finally, two numerical examples are given to demonstrate the effectiveness of our results.

Authors

  • Xianxiu Zhang
    Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing 400715, China; Department of Mathematics, Liupanshui Normal University, Guizhou Liupanshui 553001, China. Electronic address: zxx1234567@sina.com.
  • Chuandong Li
    College of Electronic and Information Engineering, Southwest University, Chongqing 400044, PR China. Electronic address: licd@cqu.edu.cn.
  • Tingwen Huang

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