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Adaptive synchronization of chaotic systems with time-varying delay via aperiodically intermittent control

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Abstract

The time-varying delay makes the state of a chaotic system more complex, which has a great influence on stability analysis and synchronization. To solve this problem, we utilize the method of adaptive intermittent control and the theory of Lyapunov stability to realize the synchronization of chaotic systems with time-varying delay. Firstly, we propose the control strategy to achieve the asymptotic exponential stability of the synchronous system under the aperiodically intermittent control. To make it easier to implement, we also propose a periodic intermittent control strategy. Finally, we choose the Lorenz and financial systems to do a numerical simulation. The experimental results verified the validity of our method.

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Acknowledgements

This study was funded by the National Nature Science Cultivated Fund of Qinzhou University, No. 2014PY-GJ04, and the Teaching Reform Project of Qinzhou University, No. 2015QYJGB17.

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Authors and Affiliations

  1. School of Science, Beibu Gulf University, Qinzhou, 535000, Guangxi, People’s Republic of China

    Yuangan Wang

  2. College of Mathematics and Statistics, Chongqing University, Chongqing, 400030, People’s Republic of China

    Dong Li

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  1. Yuangan Wang
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  2. Dong Li
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Correspondence to Yuangan Wang.

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Wang, Y., Li, D. Adaptive synchronization of chaotic systems with time-varying delay via aperiodically intermittent control. Soft Comput 24, 12773–12780 (2020). https://doi.org/10.1007/s00500-020-05161-7

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