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Stability analysis of fractional-order complex-valued neural networks with both leakage and discrete delays

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  • Zhang, Lei
  • Song, Qiankun
  • Zhao, Zhenjiang

Abstract

In this paper, the problem of uniform stability for fractional-order complex-valued neural networks with both leakage and discrete delays is considered. Base on the contracting mapping principle, a sufficient condition is proposed for the existence and uniqueness of the equilibrium point of the addressed neural networks. By employing analysis technique, some delay-dependent criteria are established for checking the global uniform stability of the fractional-order complex-valued neural networks. Two numerical examples are presented to demonstrate the validity and feasibility of the proposed results.

Suggested Citation

  • Zhang, Lei & Song, Qiankun & Zhao, Zhenjiang, 2017. "Stability analysis of fractional-order complex-valued neural networks with both leakage and discrete delays," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 296-309.
    • Handle: RePEc:eee:apmaco:v:298:y:2017:i:c:p:296-309
    DOI: 10.1016/j.amc.2016.11.027
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    References listed on IDEAS

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    1. Ji, Meng-Di & He, Yong & Wu, Min & Zhang, Chuan-Ke, 2015. "Further results on exponential stability of neural networks with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 175-182.
    2. Liu, Yuji, 2016. "On piecewise continuous solutions of higher order impulsive fractional differential equations and applications," Applied Mathematics and Computation, Elsevier, vol. 287, pages 38-49.
    3. Zeng, Xu & Li, Chuandong & Huang, Tingwen & He, Xing, 2015. "Stability analysis of complex-valued impulsive systems with time delay," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 75-82.
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