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Master-slave synchronization of complex-valued delayed chaotic Lur’e systems with sampled-data control

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  • Huang, Yao
  • Bao, Haibo

Abstract

The master-slave synchronization of a type of the complex-valued chaotic Lur’e systems (CVCLSs) with time delay is addressed for the first time, with decomposing complex-valued dynamic systems into two real-valued systems. The complex-valued state variables are introduced in the chaotic Lur’e systems, which expand the application in image processing and remote operation control, and improve the confidentiality in secure communication. Firstly, on the basis of the Lyapunov principle, a Lyapunov-Krasovkii functional (LKF) is established by using certain novel augmented terms, which can take full advantage of the usable information on the sampled-data and the characteristics of the system. Secondly, in the case of a complex-valued delayed chaotic Lur’e system, a more general synchronization criterion is constructed to expand certain current conclusions in the real domain. What’s more, the required gain matrices can be designed according to the solution of the linear matrix inequalities (LMIs). In contrast, the conclusions of this paper are more extensive than some existing studies. At last, the validity of the conclusions of this paper is proved by numerical simulations.

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  • Huang, Yao & Bao, Haibo, 2020. "Master-slave synchronization of complex-valued delayed chaotic Lur’e systems with sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 379(C).
    • Handle: RePEc:eee:apmaco:v:379:y:2020:i:c:s0096300320302307
    DOI: 10.1016/j.amc.2020.125261
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    References listed on IDEAS

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    1. Zhang, Lan & Yang, Xinsong & Xu, Chen & Feng, Jianwen, 2017. "Exponential synchronization of complex-valued complex networks with time-varying delays and stochastic perturbations via time-delayed impulsive control," Applied Mathematics and Computation, Elsevier, vol. 306(C), pages 22-30.
    2. Li, Li & Wang, Zhen & Li, Yuxia & Shen, Hao & Lu, Junwei, 2018. "Hopf bifurcation analysis of a complex-valued neural network model with discrete and distributed delays," Applied Mathematics and Computation, Elsevier, vol. 330(C), pages 152-169.
    3. Peng, Chao-Chung & Chen, Chieh-Li, 2008. "Robust chaotic control of Lorenz system by backstepping design," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 598-608.
    4. Zhang, Hongmei & Cao, Jinde & Xiong, Lianglin, 2019. "Novel synchronization conditions for time-varying delayed Lur’e system with parametric uncertainty," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 224-236.
    5. Liu, Xinmiao & Xia, Jianwei & Huang, Xia & Shen, Hao, 2020. "Generalized synchronization for coupled Markovian neural networks subject to randomly occurring parameter uncertainties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    6. Hu, Xiaohui & Xia, Jianwei & Wei, Yunliang & Meng, Bo & Shen, Hao, 2019. "Passivity-based state synchronization for semi-Markov jump coupled chaotic neural networks with randomly occurring time delays," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 32-41.
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    Cited by:

    1. Shoreh, A.A.-H. & Kuznetsov, N.V. & Mokaev, T.N., 2022. "New adaptive synchronization algorithm for a general class of complex hyperchaotic systems with unknown parameters and its application to secure communication," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 586(C).
    2. Ahmad, Israr, 2021. "A Lyapunov-based direct adaptive controller for the suppression and synchronization of a perturbed nuclear spin generator chaotic system," Applied Mathematics and Computation, Elsevier, vol. 395(C).

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