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Robust Asymptotical Stability and Stabilization of Fractional-Order Complex-Valued Neural Networks with Delay

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  • Jingjing Zeng
  • Xujun Yang
  • Lu Wang
  • Xiaofeng Chen
  • Ewa Pawluszewicz

Abstract

The robust asymptotical stability and stabilization for a class of fractional-order complex-valued neural networks (FCNNs) with parametric uncertainties and time delay are considered in this paper. It is worth noting that our system combines complex numbers, uncertain parameters, time delay, and fractional orders, which is universal in practical application. Using the theorem of homeomorphism, the sufficient condition of the existence and uniqueness of the equilibrium point for the system is obtained. Then, the sufficient criteria of robust asymptotical stability and stabilization for the addressed models are established, respectively. Finally, we give two numerical examples to verify the feasibility and effectiveness of the theoretical results.

Suggested Citation

  • Jingjing Zeng & Xujun Yang & Lu Wang & Xiaofeng Chen & Ewa Pawluszewicz, 2021. "Robust Asymptotical Stability and Stabilization of Fractional-Order Complex-Valued Neural Networks with Delay," Discrete Dynamics in Nature and Society, Hindawi, vol. 2021, pages 1-14, November.
    • Handle: RePEc:hin:jnddns:5653791
    DOI: 10.1155/2021/5653791
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