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Global Exponential Stability of Fuzzy BAM Neural Networks with Distributed Delays

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Abstract

In this paper, by using the theory of topological degree, Lyapunov functional and analysis technique, the sufficient conditions which ensure the existence, uniqueness and global exponential stability of the equilibrium point for fuzzy bi-directional associative memory neural networks with distributed delays are obtained. The results remove the usual assumption that the activation functions are bounded. An example is given to illustrate the effectiveness and feasibility of results obtained.

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Authors and Affiliations

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

    Qianghong Zhang

  2. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550004, Guizhou, People’s Republic of China

    Qianghong Zhang

  3. Department of Mathematics, Hunan City University, Yiyang, 413000, Hunan, People’s Republic of China

    Lihui Yang

  4. Basic Science Department, Hunan Institute of Technology, Hengyang, 421008, Hunan, People’s Republic of China

    Daixi Liao

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  1. Qianghong Zhang
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  2. Lihui Yang
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  3. Daixi Liao
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Correspondence to Qianghong Zhang.

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Zhang, Q., Yang, L. & Liao, D. Global Exponential Stability of Fuzzy BAM Neural Networks with Distributed Delays. Arab J Sci Eng 38, 691–697 (2013). https://doi.org/10.1007/s13369-012-0424-x

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  • DOI: https://doi.org/10.1007/s13369-012-0424-x

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