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H∞ synchronization of uncertain stochastic time-varying delay systems with exogenous disturbance via intermittent control

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  • Ding, Kui
  • Zhu, Quanxin

Abstract

In this work, the drive-response H∞ synchronization of stochastic time-varying systems with exogenous disturbance and parameter uncertainly via intermittent control is discussed. Based on a novel piecewise time dependent Lyapunov functional (PTDLF) and the strong low of large numbers for local martingales, the sufficient causes presented by linear matrix inequalities are established to ensure the mean square exponential synchronization and almost sure exponential synchronization with L2-gain performance for the stochastic drive-response system, respectively. In addition, two types of delay independent intermittent controllers are designed in view of the obtained synchronization standard. Finally, two numerical examples are given to illustrate the rationality and effectiveness of the method under investigation.

Suggested Citation

  • Ding, Kui & Zhu, Quanxin, 2019. "H∞ synchronization of uncertain stochastic time-varying delay systems with exogenous disturbance via intermittent control," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 244-256.
    • Handle: RePEc:eee:chsofr:v:127:y:2019:i:c:p:244-256
    DOI: 10.1016/j.chaos.2019.06.038
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    References listed on IDEAS

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    1. Wang, Yijing & Zou, Yanchao & Zuo, Zhiqiang & Li, Hongchao, 2016. "Finite-time stabilization of switched nonlinear systems with partial unstable modes," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 172-181.
    2. Chen, Chuan & Li, Lixiang & Peng, Haipeng & Yang, Yixian, 2018. "Adaptive synchronization of memristor-based BAM neural networks with mixed delays," Applied Mathematics and Computation, Elsevier, vol. 322(C), pages 100-110.
    3. Qin, Xiaoli & Wang, Cong & Li, Lixiang & Peng, Haipeng & Yang, Yixian & Ye, Lu, 2018. "Finite-time modified projective synchronization of memristor-based neural network with multi-links and leakage delay," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 302-315.
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    Cited by:

    1. Liu, Yan & Wang, Junpu, 2021. "Synchronization of coupled systems via intermittent event-triggered control: Quaternion case," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).

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