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Mean-square bounded synchronization of complex networks under deception attacks via pinning impulsive control

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Abstract

In this paper, the mean-square bounded synchronization problem for a class of complex cyber-physical networks under deception attacks is investigated. The deception attack often takes place between the controller and the actuator, in which the injection of false data may cause the actuator to malfunction, while the occurrence of deception attack is always subject to Bernoulli distribution. An improved pinning impulsive control scheme is designed such that the status of all components in networks can be consistent, and the nodes with a high probability of being attacked are preferentially controlled. By means of Lyapunov method, inequality technique and mathematical induction method, it is proved that the given scheme can realize the mean-square bounded synchronization of complex networks under deception attack. Moreover, the required synchronization time is controllable and computable. Then, some sufficient conditions for mean-square bounded synchronization, error bound, and the maximum convergence time are obtained. Finally, two simulation examples demonstrate the validity of the given theoretical results.

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Funding

This work was supported in part by the National Natural Science Foundation of China under Grant 61803322, and in part by the Natural Science Foundation of Hunan Province under Grant 2022JJ30573, and in part by the Scientific Research Fund of Hunan Provincial Education Department under Grant 21B0178.

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Authors and Affiliations

  1. School of Computer Science, Xiangtan University, Xiangtan, 411105, China

    Lili Zhou, Mingzhe Huang, Fei Tan & Yuhao Zhang

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  1. Lili Zhou
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  2. Mingzhe Huang
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  3. Fei Tan
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  4. Yuhao Zhang
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Correspondence to Lili Zhou.

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Zhou, L., Huang, M., Tan, F. et al. Mean-square bounded synchronization of complex networks under deception attacks via pinning impulsive control. Nonlinear Dyn 111, 11243–11259 (2023). https://doi.org/10.1007/s11071-023-08448-0

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