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Exponential stability of discrete-time uncertain neural networks with multiple time-varying leakage delays

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  • Suntonsinsoungvon, E.
  • Udpin, S.

Abstract

In this paper, we investigate a new exponential stability criterion for uncertain discrete-time neural networks with both multiple leakage time-varying delays and discrete time-varying delays. Here for the first time leakage time varying delay is taken to be a multiple one and this does not exist in the literature. Based on the discrete-type Halanay inequality and some inequality techniques, a novel exponential stability criterion for uncertain discrete-time neural networks is derived in terms of LMIs. Then the LMIs can be easily manipulated by using LMI Control toolbox in Matlab. Finally few numerical examples along with simulative responses are given to strengthen our proposed stability results.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:171:y:2020:i:c:p:233-245
    DOI: 10.1016/j.matcom.2019.10.007
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    References listed on IDEAS

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    1. Zhang, Hongbin & Li, Chunguang & Liao, Xiaofeng, 2005. "A note on the robust stability of neural networks with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 357-360.
    2. S. Udpin & P. Niamsup, 2013. "Global Exponential Stability of Discrete-Time Neural Networks with Time-Varying Delays," Discrete Dynamics in Nature and Society, Hindawi, vol. 2013, pages 1-4, December.
    3. Wei Zhu, 2008. "A Sufficient Condition for Asymptotic Stability of Discrete-Time Interval System with Delay," Discrete Dynamics in Nature and Society, Hindawi, vol. 2008, pages 1-7, February.
    4. 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.
    5. Qiang Zhang & Xiaopeng Wei & Jin Xu, 2007. "On Global Exponential Stability of Discrete-Time Hopfield Neural Networks with Variable Delays," Discrete Dynamics in Nature and Society, Hindawi, vol. 2007, pages 1-9, April.
    6. Jing Liang & Zengshun Chen & Qiankun Song, 2013. "State Estimation for Neural Networks with Leakage Delay and Time-Varying Delays," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, October.
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    Cited by:

    1. Yang, Zhanying & Zhang, Jie & Zhang, Zhihui & Mei, Jun, 2023. "An improved criterion on finite-time stability for fractional-order fuzzy cellular neural networks involving leakage and discrete delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 910-925.
    2. Wang, Fen & Chen, Yuanlong, 2021. "Mean square exponential stability for stochastic memristor-based neural networks with leakage delay," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).

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