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Global exponential stability of anti-periodic solutions for neutral type CNNs with D operator

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Abstract

This paper is concerned with the anti-periodic solution problem for a class of neutral type cellular neural networks with D operator. By using the Banach fixed point theorem and applying inequality techniques, some new sufficient conditions are established to ensure the existence and exponential stability of the unique anti-periodic solution for the proposed neural networks. Finally, an example with its numerical simulation is provided to show the correctness of our study.

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Acknowledgements

The author would like to express the sincere appreciation to the editor and anonymous reviewers for their careful work and thoughtful suggestions that have helped improve this paper substantially.

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Authors and Affiliations

  1. School of Science, Hunan University of Technology, Zhuzhou, 412000, Hunan, People’s Republic of China

    Zhibin Chen

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  1. Zhibin Chen
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Correspondence to Zhibin Chen.

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Chen, Z. Global exponential stability of anti-periodic solutions for neutral type CNNs with D operator. Int. J. Mach. Learn. & Cyber. 9, 1109–1115 (2018). https://doi.org/10.1007/s13042-016-0633-9

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  • DOI: https://doi.org/10.1007/s13042-016-0633-9

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