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Exponential Convergence of a SICNN with Leakage Delays and Continuously Distributed Delays of Neutral Type

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Abstract

This paper concerns with a shunting inhibitory cellular neural network with leakage delays and continuously distributed delays of neutral type. By using Lyapunov functional method and differential inequality techniques, we employ a novel argument to establish a criterion on the global exponential convergence of the network. Our results complement some recent ones.

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Acknowledgments

This work was supported by the Scientific Research Fund of Hunan Provincial Natural Science Foundation of PR China (Grant No. 13JJ4111), the Natural Scientific Research Fund of Hunan Provincial Education Department of PR China (Grants No. 11B029). The authors would like to express the sincere appreciation to the reviewers for their helpful comments in improving the presentation and quality of the paper.

Conflict of interest

The authors declare no conflict of interests; We also declare that we have no financial and personal relationships with other people or organizations that can inappropriately influence our work, there is no professional or other personal interest of any nature or kind in any product, service and/or company that could be construed as influencing the position presented in, or the review of, this present paper.

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Authors and Affiliations

  1. College of Mathematics and Computer Science, Hunan University of Arts and Science, Changde , 415000, Hunan, People’s Republic of China

    Changhong Zhao

  2. Department of Mathematics, Hunan First Normal University, Changsha , 410205, People’s Republic of China

    Zengyun Wang

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  1. Changhong Zhao
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  2. Zengyun Wang
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Correspondence to Changhong Zhao.

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Zhao, C., Wang, Z. Exponential Convergence of a SICNN with Leakage Delays and Continuously Distributed Delays of Neutral Type. Neural Process Lett 41, 239–247 (2015). https://doi.org/10.1007/s11063-014-9341-1

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  • DOI: https://doi.org/10.1007/s11063-014-9341-1

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