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Exponential synchronization of uncertain networks with the switching topology based on sliding mode technology

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Listed:
  • Lü, Ling
  • Xu, Yuqing
  • Chen, Liansong
  • Li, Chengren

Abstract

We investigate the exponential synchronization of uncertain networks with the switching topology based on sliding mode technology. In this work, the network controller and the adaptive law of uncertain parameter are designed to ensure the exponential synchronization between uncertain networks with the switching topology and the synchronization target. In addition, the synchronization technology is suitable for any topology network, and in the network synchronization process, the switching of the network topology is not restricted, that is, it can be switched at any time according to the actual requirement. At last, the effects of the exponential synchronization criteria are verified through the numerical example.

Suggested Citation

  • Lü, Ling & Xu, Yuqing & Chen, Liansong & Li, Chengren, 2019. "Exponential synchronization of uncertain networks with the switching topology based on sliding mode technology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 121-130.
    • Handle: RePEc:eee:phsmap:v:521:y:2019:i:c:p:121-130
    DOI: 10.1016/j.physa.2019.01.073
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    References listed on IDEAS

    as
    1. Li, Chengren & Lü, Ling & Yang, Yiming & Zhou, Shuang & Hong, Yixuan, 2018. "Research on outer synchronization between uncertain time-varying networks with different node number," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 2301-2309.
    2. Ghada Al-Mahbashi & Mohd Salmi Md Noorani & Sakhinah Abu Bakar, 2014. "Projective lag synchronization in drive-response dynamical networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(11), pages 1-11.
    3. Li, Chengren & Lü, Ling & Zhao, Guannan & Li, Gang & Tian, Jing & Gu, Jiajia & Wang, Zhouyang, 2017. "Projective synchronization of uncertain scale-free network based on modified sliding mode control technique," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 511-521.
    4. Lü, Ling & Chen, Liansong & Han, Changhui & Ge, Lianjun & Gao, Liyu, 2017. "Synchronization transmission of spatiotemporal chaotic signal in the uncertain time-varying network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 74-84.
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    Cited by:

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    2. Wei, Qingtao & Lü, Ling & Jia, Hao, 2019. "Research on coupled synchronization of Duffing circuit network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 247-255.
    3. Jia, You & Wu, Huaiqin & Cao, Jinde, 2020. "Non-fragile robust finite-time synchronization for fractional-order discontinuous complex networks with multi-weights and uncertain couplings under asynchronous switching," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    4. Chai, Yuan & Xu, Li & Zhang, Hudong, 2021. "Interchangeable outer synchronization of community networks with two spatiotemporal clusters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 574(C).
    5. Wang, Xuelian & Xia, Jianwei & Wang, Jing & Wang, Jian & Wang, Zhen, 2019. "Passive state estimation for fuzzy jumping neural networks with fading channels based on the hidden Markov model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).

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