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Existence and Exponential Stability of Periodic Solution to Fuzzy Cellular Neural Networks with Distributed Delays

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Abstract

In this paper, fuzzy cellular neural network with distributed delays is investigated. By using Gaines and Mawhin’s continuation theorem of coincidence degree theory and the method of Lyapunov function, some sufficient conditions for the existence and global exponential stability of periodic solution of such fuzzy cellular neural networks with distributed delays are established. An example is given to illustrate the feasibility of our main theoretical findings. Finally, the paper ends with a brief conclusion. Some interesting numerical simulations that complement our analytical findings.

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Acknowledgments

This work is supported by National Natural Science Foundation of China (Nos. 11261010, 11201138 and 11101126), Natural Science and Technology Foundation of Guizhou Province (J[2015]2025), Scientific Research Fund of Hunan Provincial Education Department (No. 12B034) and 125 Special Major Science and Technology of Department of Education of Guizhou Province ([2012]011).

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Authors and Affiliations

  1. Guizhou Key Laboratory of Economics System Simulation, School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550004, People’s Republic of China

    Changjin Xu

  2. College of Science, Hunan University of Technology, Zhuzhou, 412007, People’s Republic of China

    Qiming Zhang

  3. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471023, People’s Republic of China

    Yusen Wu

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  1. Changjin Xu
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  2. Qiming Zhang
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Correspondence to Changjin Xu.

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Xu, C., Zhang, Q. & Wu, Y. Existence and Exponential Stability of Periodic Solution to Fuzzy Cellular Neural Networks with Distributed Delays. Int. J. Fuzzy Syst. 18, 41–51 (2016). https://doi.org/10.1007/s40815-015-0103-7

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  • DOI: https://doi.org/10.1007/s40815-015-0103-7

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