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Exponential stability of delayed fuzzy cellular neural networks with diffusion

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  • Huang, Tingwen

Abstract

The exponential stability of delayed fuzzy cellular neural networks (FCNN) with diffusion is investigated. Exponential stability, significant for applications of neural networks, is obtained under conditions that are easily verified by a new approach. Earlier results on the exponential stability of FCNN with time-dependent delay, a special case of the model studied in this paper, are improved without using the time-varying term condition: dτ(t)/dt<μ.

Suggested Citation

  • Huang, Tingwen, 2007. "Exponential stability of delayed fuzzy cellular neural networks with diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 658-664.
    • Handle: RePEc:eee:chsofr:v:31:y:2007:i:3:p:658-664
    DOI: 10.1016/j.chaos.2005.10.015
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    Cited by:

    1. Qian-hong Zhang & Li-hui Yang, 2012. "Dynamical analysis of fuzzy BAM neural networks with variable delays," Fuzzy Information and Engineering, Springer, vol. 4(1), pages 93-104, March.
    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.
    3. Juan Chen & Zhenkun Huang & Jinxiang Cai, 2015. "Global Exponential Stability of Learning‐Based Fuzzy Networks on Time Scales," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    4. Sha, Chunlin & Zhao, Hongyong, 2019. "A novel neurodynamic reaction-diffusion model for solving linear variational inequality problems and its application," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 57-75.
    5. Fei Luo & Weiyi Hu & Enli Wu & Xiufang Yuan, 2024. "Global Exponential Stability of Impulsive Delayed Neural Networks with Parameter Uncertainties and Reaction–Diffusion Terms," Mathematics, MDPI, vol. 12(15), pages 1-15, July.
    6. Qianhong Zhang & Lihui Yang & Jingzhong Liu, 2012. "Dynamics of Fuzzy BAM Neural Networks with Distributed Delays and Diffusion," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    7. Bing Li & Qiankun Song, 2013. "Synchronization of Chaotic Delayed Fuzzy Neural Networks under Impulsive and Stochastic Perturbations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    8. Wang, Xiaohu & Xu, Daoyi, 2009. "Global exponential stability of impulsive fuzzy cellular neural networks with mixed delays and reaction-diffusion terms," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2713-2721.
    9. Li, Zuoan & Li, Kelin, 2009. "Stability analysis of impulsive fuzzy cellular neural networks with distributed delays and reaction-diffusion terms," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 492-499.
    10. Sun, Yeong-Jeu, 2009. "Robust stability of uncertain T–S fuzzy time-varying systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1588-1594.
    11. Guowei Yang & Yonggui Kao & Changhong Wang, 2013. "Exponential Stability and Periodicity of Fuzzy Delayed Reaction‐Diffusion Cellular Neural Networks with Impulsive Effect," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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