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Synchronization of a Class of Time-varying Delay Chaotic Systems with External Disturbances via Impulsive Intermittent Control

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  • Control Theory and Applications
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Abstract

The main goal of this article is to consider the synchronization of a class of chaotic systems with time-varying delay and external disturbances. A new control method, which is the impulsive intermittent control strategy, is proposed. In our control scheme, the time interval between impulsive control and intermittent control is variable. In addition, the “working time” interval and the “rest time” interval of intermittent control are also changeable. By designing an impulsive intermittent controller, a new asymptotic stability theorem is obtained to ensure the asymptotic synchronization of a class of time-varying delay chaotic systems with variable external disturbances. Numerical simulations are given to demonstrate the applicability and validity of the proposed scheme.

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Authors and Affiliations

  1. Department of Mathematics, School of Sciences, Nanchang University, Nanchang, 30031, China

    Meichun Huang, Runzi Luo, Jiaojiao Fu & Haipeng Su

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  1. Meichun Huang
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  2. Runzi Luo
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  3. Jiaojiao Fu
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  4. Haipeng Su
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Corresponding author

Correspondence to Runzi Luo.

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Conflict of Interests

The authors declare that they have no conflict of interest.

Meichun Huang received her B.S. degree from Shangrao Normal University, Shangrao, China, in 2019, and an M.S. degree from Nanchang University, Nanchang, China, in 2022. Her research interests include nonlinear control, chaos control, and synchronization.

Runzi Luo received his Ph.D. degree in operational research and cybernetics from Shanghai University, Shanghai, China, in 2005. He is currently a Professor with the Department of Mathematics, Nanchang University, Nanchang, China. His research interests include nonlinear systems, complex networks, stability theory and applied mathematics, chaos synchronization, and secure communication.

Jiaojiao Fu received her B.S. degree from Anyang Normal University, Anyang, China, in 2019, and an M.S. degree from Nanchang University, Nanchang, China, in 2022. Her research interests include memristive neural networks, chaos control, and synchronization.

Haipeng Su received his B.S. degree in operational research and cybernetics from Nanchang University, Nanchang, China, in 2019, and a Ph.D. degree from Nanchang University, Nanchang, China, in 2022. His current research interests include nonlinear dynamics, complex network, chaotic control, and synchronization.

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This work supported by the National Natural Science Foundation of China under Grant No. 11761050.

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Huang, M., Luo, R., Fu, J. et al. Synchronization of a Class of Time-varying Delay Chaotic Systems with External Disturbances via Impulsive Intermittent Control. Int. J. Control Autom. Syst. 21, 1507–1517 (2023). https://doi.org/10.1007/s12555-021-0891-5

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