Synchronization of chaotic delayed systems via intermittent control and its adaptive strategy
Articles
Mei Liu
Zhoukou Normal University
https://orcid.org/0000-0002-2130-0614
Jie Chen
Shaanxi University of Technology
Haijun Jiang
Xinjiang University
https://orcid.org/0000-0001-8073-057X
Zhiyong Yu
Xinjiang University
https://orcid.org/0000-0001-8073-057X
Cheng Hu
Xinjiang University
https://orcid.org/0000-0002-2170-0968
Binglong Lu
Zhoukou Normal University
https://orcid.org/0000-0003-1908-2387
Published 2021-11-01
https://doi.org/10.15388/namc.2021.26.24419
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Keywords

delayed chaotic systems
aperiodic intermittent control
synchronization
adaptive strategy

How to Cite

Liu, M. (2021) “Synchronization of chaotic delayed systems via intermittent control and its adaptive strategy”, Nonlinear Analysis: Modelling and Control, 26(6), pp. 993–1011. doi:10.15388/namc.2021.26.24419.

Abstract

In this paper the problem of synchronization for delayed chaotic systems is considered based on aperiodic intermittent control. First, delayed chaotic systems are proposed via aperiodic adaptive intermittent control. Next, to cut down the control gain, a new generalized intermittent control and its adaptive strategy is introduced. Then, by constructing a piecewise Lyapunov auxiliary function and making use of piecewise analysis technique, some effective and novel criteria are obtained to ensure the global synchronization of delayed chaotic systems by means of the designed control protocols. At the end, two examples with numerical simulations are provided to verify the effectiveness of the theoretical results proposed scheme.

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