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Estimation of exponential convergence rate and exponential stability for neural networks with time-varying delay

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  • Tu, Fenghua
  • Liao, Xiaofeng

Abstract

We study the problem of estimating the exponential convergence rate and exponential stability for neural networks with time-varying delay. Some criteria for exponential stability are derived by using the linear matrix inequality (LMI) approach. They are less conservative than the existing ones. Some analytical methods are employed to investigate the bounds on the interconnection matrix and activation functions so that the systems are exponentially stable.

Suggested Citation

  • Tu, Fenghua & Liao, Xiaofeng, 2005. "Estimation of exponential convergence rate and exponential stability for neural networks with time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1499-1505.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:5:p:1499-1505
    DOI: 10.1016/j.chaos.2005.04.014
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    Cited by:

    1. Sun, Yeong-Jeu & Gau, Ruey-Shyan & Hsieh, Jer-Guang, 2009. "Simple criteria for sector root clustering of uncertain systems with multiple time delays," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 65-71.
    2. Sun, Yeong-Jeu, 2007. "Stability criterion for a class of descriptor systems with discrete and distributed time delays," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 986-993.
    3. Sun, Yeong-Jeu, 2007. "Duality between observation and output feedback for linear systems with multiple time delays," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 879-884.
    4. Lv, Jian Cheng & Yi, Zhang, 2007. "Convergence analysis of Chauvin’s PCA learning algorithm with a constant learning rate," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1562-1571.
    5. Sun, Yeong-Jeu, 2009. "Stability criteria for a class of differential inclusion systems with discrete and distributed time delays," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2386-2391.
    6. Gau, R.S. & Lien, C.H. & Hsieh, J.G., 2007. "Global exponential stability for uncertain cellular neural networks with multiple time-varying delays via LMI approach," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1258-1267.

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