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New LMI‐Based Conditions on Neural Networks of Neutral Type with Discrete Interval Delays and General Activation Functions

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  • Guoquan Liu
  • Shumin Zhou
  • He Huang

Abstract

The stability analysis of global asymptotic stability of neural networks of neutral type with both discrete interval delays and general activation functions is discussed. New delay‐dependent conditions are obtained by using more general Lyapunov‐Krasovskii functionals. Meanwhile, these conditions are expressed in terms of a linear matrix inequality (LMI) and can be verified using the MATLAB LMI toolbox. Numerical examples are used to illustrate the effectiveness of the proposed approach.

Suggested Citation

  • Guoquan Liu & Shumin Zhou & He Huang, 2012. "New LMI‐Based Conditions on Neural Networks of Neutral Type with Discrete Interval Delays and General Activation Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:306583
    DOI: 10.1155/2012/306583
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    References listed on IDEAS

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    1. Miljković, Vladimir & Milošević, Sava & Sknepnek, Rastko & Živić, Ivan, 2001. "Pattern recognition in damaged neural networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(3), pages 526-536.
    2. Singh, Vimal, 2007. "Improved global robust stability criterion for delayed neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 224-229.
    3. Park, Ju H. & Kwon, O.M., 2009. "Global stability for neural networks of neutral-type with interval time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1174-1181.
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    Cited by:

    1. Zeynep Orman & Sabri Arik, 2013. "An Analysis of Stability of a Class of Neutral‐Type Neural Networks with Discrete Time Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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