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New results on the stability of fuzzy cellular neural networks with time-varying leakage delays

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Abstract

In this paper, fuzzy cellular neural networks with time-varying delays in the leakage terms are studied. Without assuming the boundedness on the activation functions, some sufficient conditions for the existence, uniqueness and global exponential stability of equilibrium point are established by using the fixed point theorem and constructing suitable Lyapunov functional, which are new, and they improve previously known results. Moreover, an example is given to demonstrate the feasibility of our method.

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Acknowledgments

The author would like to express the sincere appreciation to the reviewers for their helpful comments in improving the presentation and quality of the paper. This work was supported by the Humanities and Social Sciences Foundation of Ministry of Education of P. R. China (Grant No. 12YJAZH173).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Hunan University of Commerce, Changsha, Hunan, 410205, People’s Republic of China

    Gang Yang

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  1. Gang Yang
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Correspondence to Gang Yang.

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Yang, G. New results on the stability of fuzzy cellular neural networks with time-varying leakage delays. Neural Comput & Applic 25, 1709–1715 (2014). https://doi.org/10.1007/s00521-014-1662-5

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  • DOI: https://doi.org/10.1007/s00521-014-1662-5

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