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Periodic Solutions of BAM Neural Networks with Continuously Distributed Delays in the Leakage Terms

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Abstract

This paper concerns with bidirectional associative memory neural network model with continuously distributed leakage delays. By applying Lyapunov functional method and differential inequality techniques, we establish some sufficient conditions for the existence and exponential stability of periodic solutions for the model, which complement with some recent ones. Moreover, an example and its numerical simulation are given to support the theoretical results.

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Acknowledgments

The author would like to express the sincere appreciation to the editor and reviewers for their helpful comments in improving the presentation and quality of the paper. In particular, the author expresses the sincere gratitude to Profs. Jianli Li and Anping Chen for the helpful discussion when this revision work is carried out. This work was supported by the Construct Program of the Key Discipline in Hunan Province, the Technology Planning project of Hunan Province Science and Technology Department in China (Grant No. 2012FJ4300), the National Natural Science Foundation of Hunan Province (Grant No. 13JJ3120), and the Natural Scientific Research Fund of Hunan Provincial Education Department of China (Grant No. 13C880).

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  1. Department of Mathematics, Xiangnan College, Chenzhou , 423000, Hunan, People’s Republic of China

    Yanli Xu

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  1. Yanli Xu
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Correspondence to Yanli Xu.

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Xu, Y. Periodic Solutions of BAM Neural Networks with Continuously Distributed Delays in the Leakage Terms. Neural Process Lett 41, 293–307 (2015). https://doi.org/10.1007/s11063-014-9346-9

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