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Pinning Stabilization of Cellular Neural Networks with Time-Delay Via Delayed Impulses

In: Mathematical and Computational Approaches in Advancing Modern Science and Engineering

Author

Listed:
  • Kexue Zhang

    (University of Waterloo, Department of Applied Mathematics)

  • Xinzhi Liu

    (University of Waterloo, Department of Applied Mathematics)

  • Wei-Chau Xie

    (University of Waterloo, Department of Civil and Environmental Engineering)

Abstract

This paper studies the pinning stabilization problem of time-delay cellular neural networks. A new pinning delayed-impulsive controller is proposed to stabilize the networks. Based on a Razumikhin-type stability result, a global exponential stability of time-delay cellular neural networks with delayed impulses is constructed. It is shown that the global exponential stabilization of delayed cellular neural networks can be effectively realized by controlling a small portion of units in the networks via delayed impulses. Numerical simulations are provided to illustrate the theoretical result.

Suggested Citation

  • Kexue Zhang & Xinzhi Liu & Wei-Chau Xie, 2016. "Pinning Stabilization of Cellular Neural Networks with Time-Delay Via Delayed Impulses," Springer Books, in: Jacques Bélair & Ian A. Frigaard & Herb Kunze & Roman Makarov & Roderick Melnik & Raymond J. Spiteri (ed.), Mathematical and Computational Approaches in Advancing Modern Science and Engineering, pages 775-785, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-30379-6_69
    DOI: 10.1007/978-3-319-30379-6_69
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