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Stationary oscillation of interval fuzzy cellular neural networks with mixed delays under impulsive perturbations

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Abstract

In this paper, a class of stationary oscillation of interval fuzzy cellular neural networks (FCNNs) with mixed delays under impulsive perturbations are considered. Mixed delays include discrete time-varying delays and unbounded distributed delays. By establishing a simple Lyapunov function, using impulsive differential inequality techniques and LMI techniques, some new sufficient criteria are obtained to ensure the existence, uniqueness and global exponential stability of stationary oscillation of interval FCNNs. The obtained results can be checked easily by the LMI control toolbox in MATLAB. Moreover, the results obtained in this paper are useful in the application and design of FCNNs, since the sufficient criteria are simple and easy to check in practice. A numerical example is given to illustrate the effectiveness of the obtained result.

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Authors and Affiliations

  1. Department of Mathematics, Gandhigram Rural Institute, Deemed University, Gandhigram, 624 302, Tamil Nadu, India

    P. Balasubramaniam & M. Kalpana

  2. Institute of Mathematical Sciences, University of Malaya, 50603, Kuala Lumpur, Malasiya

    P. Balasubramaniam

  3. Department of Mathematics, Bharathiar University, Coimbatore, 641 046, Tamilnadu, India

    R. Rakkiyappan

Authors
  1. P. Balasubramaniam
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  2. M. Kalpana
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  3. R. Rakkiyappan
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Corresponding author

Correspondence to P. Balasubramaniam.

Additional information

The work of the second author Miss. M. Kalpana was supported by No. DST/INSPIRE Fellowship/2010/[293]/dt. 18/03/2011.

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Balasubramaniam, P., Kalpana, M. & Rakkiyappan, R. Stationary oscillation of interval fuzzy cellular neural networks with mixed delays under impulsive perturbations. Neural Comput & Applic 22, 1645–1654 (2013). https://doi.org/10.1007/s00521-012-0816-6

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  • DOI: https://doi.org/10.1007/s00521-012-0816-6

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