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Adaptive synchronization of fractional-order memristor-based neural networks with time delay

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Abstract

This paper is concerned with the adaptive synchronization problem of fractional-order memristor-based neural networks with time delay. By combining the adaptive control, linear delay feedback control, and a fractional-order inequality, sufficient conditions are derived which ensure the drive–response systems to achieve synchronization. Finally, two numerical examples are given to demonstrate the effectiveness of the obtained results.

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Acknowledgments

The authors appreciate the editor’s work and the reviewers’ helpful comments and suggestions, and also thank for Prof. H. Jiang and Associate Prof. C. Hu’s help. The work of H. Bao was jointly supported by the National Natural Science Foundation of China under Grant No. 61203096, the Chinese Postdoctoral Science Foundation under Grant 2013M513924, the Fundamental Research Funds for Central Universities XDJK2013C001 and the scientific research support project for teachers with doctor’s degree, Southwest University under Grant No. SWU112024. The work of J.H. Park was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education(2013R1A1A2A10005201).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Southwest University, Chongqing, 400715, China

    Haibo Bao

  2. Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan, 38541, Republic of Korea

    Haibo Bao & Ju H. Park

  3. Department of Mathematics, Southeast University, Nanjing, 210096, China

    Jinde Cao

  4. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Jinde Cao

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  1. Haibo Bao
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  2. Ju H. Park
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  3. Jinde Cao
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Correspondence to Ju H. Park.

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Bao, H., Park, J.H. & Cao, J. Adaptive synchronization of fractional-order memristor-based neural networks with time delay. Nonlinear Dyn 82, 1343–1354 (2015). https://doi.org/10.1007/s11071-015-2242-7

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  • DOI: https://doi.org/10.1007/s11071-015-2242-7

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