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Exponential Stability of Switched Neural Networks with Partial State Reset and Time-Varying Delays

Author

Listed:
  • Han Pan

    (School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, China)

  • Wenbing Zhang

    (School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, China)

  • Luyang Yu

    (School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, China)

Abstract

This paper mainly investigates the exponential stability of switched neural networks (SNNs) with partial state reset and time-varying delays, in which partial state reset means that only a fraction of the states can be reset at each switching instant. Moreover, both stable and unstable subsystems are also taken into account and therefore, switched systems under consideration can take several switched systems as special cases. The comparison principle, the Halanay-like inequality, and the time-dependent switched Lyapunov function approach are used to obtain sufficient conditions to ensure that the considered SNNs with delays and partial state reset are exponentially stable. Numerical examples are provided to demonstrate the reliability of the developed results.

Suggested Citation

  • Han Pan & Wenbing Zhang & Luyang Yu, 2022. "Exponential Stability of Switched Neural Networks with Partial State Reset and Time-Varying Delays," Mathematics, MDPI, vol. 10(20), pages 1-20, October.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:20:p:3870-:d:946407
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    References listed on IDEAS

    as
    1. Singh, Shakti Nath & Chanu, Athokpam Langlen & Malik, Md. Zubbair & Singh, R.K. Brojen, 2021. "Interplay of cellular states: Role of delay as control mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).
    2. Zhen Wang & Liwei Liu & Guangwang Su & Yuanfu Shao, 2020. "On an Impulsive Food Web System with Mutual Interference and Distributed Time Delay," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-21, January.
    3. Liu, Xinzhi & Zhang, Kexue & Xie, Wei-Chau, 2016. "Stabilization of time-delay neural networks via delayed pinning impulses," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 223-234.
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