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Stabilization of time-delay neural networks via delayed pinning impulses

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  • Liu, Xinzhi
  • Zhang, Kexue
  • Xie, Wei-Chau

Abstract

This paper studies the pinning stabilization problem of time-delay neural networks. A new pinning delayed-impulsive controller is proposed to stabilize the neural networks with delays. First, we consider the general nonlinear time-delay systems with delayed impulses, and establish several global exponential stability criteria by employing the method of Lyapunov functionals. Our results are then applied to obtain sufficient conditions under which the proposed pinning controller can exponentially stabilize the time-delay neural networks. It is shown that the global exponential stabilization of delayed neural networks can be effectively realized by controlling a small portion of neurons in the networks via delayed impulses, and, for fixed impulsive control gain, increasing the impulse delay or decreasing the number of neurons to be pinned at the impulsive moments will lead to high frequency of impulses added the corresponding neurons. Numerical examples are provided to illustrate the theoretical results, which demonstrate that our results are less conservative than the results reported in the existing literatures when the proposed pinning controller reduces to the delayed impulsive controller.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:93:y:2016:i:c:p:223-234
    DOI: 10.1016/j.chaos.2016.10.018
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    References listed on IDEAS

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    1. Wang, Xiao Fan & Chen, Guanrong, 2002. "Pinning control of scale-free dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 310(3), pages 521-531.
    2. Yu, Juan & Hu, Cheng & Jiang, Haijun & Teng, Zhidong, 2012. "Exponential lag synchronization for delayed fuzzy cellular neural networks via periodically intermittent control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(5), pages 895-908.
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    Cited by:

    1. 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.
    2. Ning, Di & Chen, Juan & Jiang, Meiying, 2022. "Pinning impulsive synchronization of two-layer heterogeneous delayed networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 586(C).

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