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Novel synchronization conditions for time-varying delayed Lur’e system with parametric uncertainty

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  • Zhang, Hongmei
  • Cao, Jinde
  • Xiong, Lianglin

Abstract

This paper investigates the synchronization stability conditions of uncertain chaotic Lur’e systems with time-varying delayed feedback control. In order to reduce the conservatism, we introduce a suitable Lyapunov–Krasovskii function with triple and quadruple integral terms. Based on some inequality properties, convex combination techniques and delay decomposition methods, we establish some novel synchronization conditions, which are given in terms of linear matrix inequalities (LMIs). Finally, numerical simulations examples demonstrate the effectiveness and advantages of our conclusions.

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  • 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.
    • Handle: RePEc:eee:apmaco:v:350:y:2019:i:c:p:224-236
    DOI: 10.1016/j.amc.2018.12.073
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    Cited by:

    1. 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).
    2. Duan, Wenyong & Li, Yan & Sun, Yi & Chen, Jian & Yang, Xiaodong, 2020. "Enhanced master–slave synchronization criteria for chaotic Lur’e systems based on time-delayed feedback control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 177(C), pages 276-294.
    3. Shi, Zhicheng & Yang, Yongqing & Chang, Qi & Xu, Xianyun, 2020. "The optimal state estimation for competitive neural network with time-varying delay using Local Search Algorithm," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    4. Yang, Te & Wang, Zhen & Xia, Jianwei & Shen, Hao, 2023. "Sampled-data exponential synchronization of stochastic chaotic Lur’e delayed systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 44-57.

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