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A Halanay-type inequality approach to the stability analysis of discrete-time neural networks with delays

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  • Yang, Rongjiang
  • Wu, Bo
  • Liu, Yang

Abstract

In this paper, we consider the stability of discrete-time neural networks with time-varying delays. A new discrete-time Halanay-type inequality is presented, based on which, we derive sufficient conditions for the globally asymptotic and exponential stability of discrete-time delayed neural networks. Two kinds of neural networks, without and with impulsive effects are investigated. Numerical examples and simulations are given to illustrate the effectiveness of the obtained results.

Suggested Citation

  • Yang, Rongjiang & Wu, Bo & Liu, Yang, 2015. "A Halanay-type inequality approach to the stability analysis of discrete-time neural networks with delays," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 696-707.
    • Handle: RePEc:eee:apmaco:v:265:y:2015:i:c:p:696-707
    DOI: 10.1016/j.amc.2015.05.088
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    Cited by:

    1. Tong, Liyun & Liu, Yang & Lou, Jungang & Lu, Jianquan & Alsaadi, Fuad E., 2018. "Static output feedback set stabilization for context-sensitive probabilistic Boolean control networks," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 263-275.
    2. Wang, Zengyun & Liu, Xinzhi, 2019. "Exponential stability of impulsive complex-valued neural networks with time delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 156(C), pages 143-157.
    3. Suntonsinsoungvon, E. & Udpin, S., 2020. "Exponential stability of discrete-time uncertain neural networks with multiple time-varying leakage delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 233-245.
    4. Nagamani, G. & Ramasamy, S., 2016. "Stochastic dissipativity and passivity analysis for discrete-time neural networks with probabilistic time-varying delays in the leakage term," Applied Mathematics and Computation, Elsevier, vol. 289(C), pages 237-257.
    5. Deng, Jie & Li, Hong-Li & Cao, Jinde & Hu, Cheng & Jiang, Haijun, 2023. "State estimation for discrete-time fractional-order neural networks with time-varying delays and uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    6. Panda, Sumati Kumari & Vijayakumar, Velusamy & Nagy, A.M., 2023. "Complex-valued neural networks with time delays in the Lp sense: Numerical simulations and finite time stability," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

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