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Anti-synchronization for stochastic memristor-based neural networks with non-modeled dynamics via adaptive control approach

Author

Listed:
  • Hui Zhao
  • Lixiang Li
  • Haipeng Peng
  • Jürgen Kurths
  • Jinghua Xiao
  • Yixian Yang

Abstract

In this paper, exponential anti-synchronization in mean square of an uncertain memristor-based neural network is studied. The uncertain terms include non-modeled dynamics with boundary and stochastic perturbations. Based on the differential inclusions theory, linear matrix inequalities, Gronwall’s inequality and adaptive control technique, an adaptive controller with update laws is developed to realize the exponential anti-synchronization. Adaptive controller can adjust itself behavior to get the best performance, according to the environment is changing or the environment has changed, which has the ability to adapt to environmental change. Furthermore, a numerical example is provided to validate the effectiveness of the proposed method. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Hui Zhao & Lixiang Li & Haipeng Peng & Jürgen Kurths & Jinghua Xiao & Yixian Yang, 2015. "Anti-synchronization for stochastic memristor-based neural networks with non-modeled dynamics via adaptive control approach," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 88(5), pages 1-10, May.
    • Handle: RePEc:spr:eurphb:v:88:y:2015:i:5:p:1-10:10.1140/epjb/e2015-50798-9
    DOI: 10.1140/epjb/e2015-50798-9
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    Cited by:

    1. Yuan, Manman & Wang, Weiping & Luo, Xiong & Liu, Linlin & Zhao, Wenbing, 2018. "Finite-time anti-synchronization of memristive stochastic BAM neural networks with probabilistic time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 244-260.
    2. Zhao, Hui & Li, Lixiang & Xiao, Jinghua & Yang, Yixian & Zheng, Mingwen, 2017. "Parameters tracking identification based on finite-time synchronization for multi-links complex network via periodically switch control," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 268-281.

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    Keywords

    Statistical and Nonlinear Physics;

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