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Mean-square bounded synchronization of fractional-order chaotic Lur’e systems under deception attack

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  • Mo, Wenjun
  • Bao, Haibo

Abstract

This paper discussed the mean-square bounded synchronization (MSBS) of fractional-order chaotic Lur’e systems (FOCLSs) in the presence of deception attacks. Firstly, it was assumed that the channel of the controller to the actuator was subjected to stochastic deception attacks, which were modeled by the Bernoulli stochastic variable. Secondly, impulsive control was proposed to achieve the aim of the MSBS of FOCLSs. Moreover, the event-triggered mechanism (ETM) is added to the impulsive control to decrease the controller update times and save computing resources consumption. Applied the fractional-order calculus, the Laplace transform, and the definition of MSBS, sufficient criteria were derived to guarantee the MSBS of FOCLSs, with the criteria being dependent on the order of the system. The upper bound of the synchronization error is given for the error system under impulsive control and event-triggered impulsive control (ETIC), respectively. Finally, Chua’s circuit was employed to indicate the practicability of the MSBS of FOCLSs.

Suggested Citation

  • Mo, Wenjun & Bao, Haibo, 2024. "Mean-square bounded synchronization of fractional-order chaotic Lur’e systems under deception attack," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 641(C).
    • Handle: RePEc:eee:phsmap:v:641:y:2024:i:c:s0378437124002358
    DOI: 10.1016/j.physa.2024.129726
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    References listed on IDEAS

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    1. Zhu, Hegui & Ge, Jiangxia & Qi, Wentao & Zhang, Xiangde & Lu, Xiaoxiong, 2022. "Dynamic analysis and image encryption application of a sinusoidal-polynomial composite chaotic system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 188-210.
    2. Runlong Peng & Cuimei Jiang & Rongwei Guo, 2021. "Partial Anti-Synchronization of the Fractional-Order Chaotic Systems through Dynamic Feedback Control," Mathematics, MDPI, vol. 9(7), pages 1-13, March.
    3. Mo, Wenjun & Bao, Haibo, 2022. "Finite-time synchronization for fractional-order quaternion-valued coupled neural networks with saturated impulse," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    4. Yu, Nanxiang & Zhu, Wei, 2021. "Event-triggered impulsive chaotic synchronization of fractional-order differential systems," Applied Mathematics and Computation, Elsevier, vol. 388(C).
    5. Gao, Rui & Yang, Guang-Hong, 2022. "Sampled-data distributed state estimation with multiple transmission channels under denial-of-service attacks," Applied Mathematics and Computation, Elsevier, vol. 429(C).
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