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New synchronization schemes for delayed chaotic neural networks with impulses

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Abstract

This paper considers the exponential synchronization problem for chaotic neural networks with mixed delays and impulsive effects. The mixed delays include time-varying delays and unbounded distributed delays. Some delay-dependent schemes are designed to guarantee the exponential synchronization of the addressed systems by constructing suitable Lyapunov–Krasovskii functional and employing stability theory. The synchronization conditions are given in terms of LMIs, which can be easily checked via MATLAB LMI toolbox. Moreover, the synchronization conditions obtained are mild and more general than previously known criteria. Finally, two numerical examples and their simulations are given to show the effectiveness of the proposed chaos synchronization schemes.

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Acknowledgments

This work was supported by National Natural Science Foundation of China (No. 11301308), China PSFF (2014M561956, 2015T80737), the Research Fund for International Cooperation Training Programme of Excellent Young Teachers of Shandong Normal University (201411201711) and the Fund of the University of Dammam College of Science (2015296).

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Authors and Affiliations

  1. Department of Mathematics, Collage of Science, University of Dammam, Al Rayan Campus, Dammam, Saudi Arabia

    Eadah Ahmad Alzahrani

  2. Department of Mathematics, College of Arts and Science Faculty, Abu Dhabi University, P.O. Box 59911, Abu Dhabi, UAE

    Haydar Akca

  3. School of Mathematical Sciences, Shandong Normal University, Ji’nan, 250014, Shandong, China

    Xiaodi Li

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  1. Eadah Ahmad Alzahrani
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  2. Haydar Akca
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  3. Xiaodi Li
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Correspondence to Xiaodi Li.

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Alzahrani, E.A., Akca, H. & Li, X. New synchronization schemes for delayed chaotic neural networks with impulses. Neural Comput & Applic 28, 2823–2837 (2017). https://doi.org/10.1007/s00521-016-2218-7

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  • DOI: https://doi.org/10.1007/s00521-016-2218-7

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