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Stability and Synchronization for Discrete-Time Complex-Valued Neural Networks with Time-Varying Delays

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  • Hao Zhang
  • Xing-yuan Wang
  • Xiao-hui Lin
  • Chong-xin Liu

Abstract

In this paper, the synchronization problem for a class of discrete-time complex-valued neural networks with time-varying delays is investigated. Compared with the previous work, the time delay and parameters are assumed to be time-varying. By separating the real part and imaginary part, the discrete-time model of complex-valued neural networks is derived. Moreover, by using the complex-valued Lyapunov-Krasovskii functional method and linear matrix inequality as tools, sufficient conditions of the synchronization stability are obtained. In numerical simulation, examples are presented to show the effectiveness of our method.

Suggested Citation

  • Hao Zhang & Xing-yuan Wang & Xiao-hui Lin & Chong-xin Liu, 2014. "Stability and Synchronization for Discrete-Time Complex-Valued Neural Networks with Time-Varying Delays," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-6, April.
    • Handle: RePEc:plo:pone00:0093838
    DOI: 10.1371/journal.pone.0093838
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