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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. Jianbao Zhang & Wenyin Zhang & Zhongjun Ma & Jing Yu, 2014. "Quasisynchronization in Quorum Sensing Systems with Parameter Mismatches," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Chaoqun Ma & Jian Liu & Qiujun Lan, 2014. "Studying Term Structure of SHIBOR with the Two‐Factor Vasicek Model," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. 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).
    5. Chuangxia Huang & Jie Cao & Peng Wang, 2016. "Attractor and Boundedness of Switched Stochastic Cohen‐Grossberg Neural Networks," Discrete Dynamics in Nature and Society, John Wiley & Sons, vol. 2016(1).
    6. Songbai Guo & Youjian Shen & Binbin Shi, 2014. "Necessary and Sufficient Conditions of Oscillation in First Order Neutral Delay Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    7. Zhifeng Dai, 2014. "Extension of Modified Polak‐Ribière‐Polyak Conjugate Gradient Method to Linear Equality Constraints Minimization Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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