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Global exponential stability of fuzzy BAM neural networks with distributed delays and time-varying delays in the leakage terms

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Abstract

In this paper, fuzzy BAM neural networks with distributed delays and time-varying delays in the leakage terms are studied. Sufficient conditions for the global exponential stability of equilibrium point are established by constructing suitable Lyapunov functional and differential inequality techniques, which complement and improve the main results of Zhang et al. (Adv Differ Equ 8:1–12; 2011) and Gopalsamy (J Math Anal Appl 325:1117–1132; 2007). Moreover, an example is given to demonstrate the feasibility of our method.

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Acknowledgments

The authors would like to thank the referees and editor for their valuable suggestions and comments.

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Authors and Affiliations

  1. College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, 410082, People’s Republic of China

    Lian Duan & Lihong Huang

  2. Hunan Women’s University, Changsha, Hunan, 410004, People’s Republic of China

    Lihong Huang

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  1. Lian Duan
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  2. Lihong Huang
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Correspondence to Lihong Huang.

Additional information

Research supported by 973 Program (2009CB326202), National Natural Science Foundation of China (11071060, 60835004), Key Program of Application Science Foundation of Hunan Province (2008FJ2008) and Aid program for Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province (XJT2008-244).

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Duan, L., Huang, L. Global exponential stability of fuzzy BAM neural networks with distributed delays and time-varying delays in the leakage terms. Neural Comput & Applic 23 (Suppl 1), 171–178 (2013). https://doi.org/10.1007/s00521-012-1289-3

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  • DOI: https://doi.org/10.1007/s00521-012-1289-3

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