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An LMI Approach for Dynamics of Switched Cellular Neural Networks with Mixed Delays

Author

Listed:
  • Chuangxia Huang
  • Hanfeng Kuang
  • Xiaohong Chen
  • Fenghua Wen

Abstract

This paper considers the dynamics of switched cellular neural networks (CNNs) with mixed delays. With the help of the Lyapnnov function combined with the average dwell time method and linear matrix inequalities (LMIs) technique, some novel sufficient conditions on the issue of the uniformly ultimate boundedness, the existence of an attractor, and the globally exponential stability for CNN are given. The provided conditions are expressed in terms of LMI, which can be easily checked by the effective LMI toolbox in Matlab in practice.

Suggested Citation

  • Chuangxia Huang & Hanfeng Kuang & Xiaohong Chen & Fenghua Wen, 2013. "An LMI Approach for Dynamics of Switched Cellular Neural Networks with Mixed Delays," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, April.
    • Handle: RePEc:hin:jnlaaa:870486
    DOI: 10.1155/2013/870486
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    Cited by:

    1. Gang-Jin Wang & Chi Xie & Peng Zhang & Feng Han & Shou Chen, 2014. "Dynamics of Foreign Exchange Networks: A Time-Varying Copula Approach," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-11, May.
    2. Xu, Changjin & Liao, Maoxin & Li, Peiluan & Yuan, Shuai, 2021. "Impact of leakage delay on bifurcation in fractional-order complex-valued neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).

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