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A new synchronization tracking technique for uncertain discrete network with spatiotemporal chaos behaviors

Author

Listed:
  • Lü, Ling
  • Chen, Liansong
  • Bai, Suyuan
  • Li, Gang

Abstract

We propose a novel scheme to achieve synchronization tracking of uncertain discrete network with spatiotemporal chaos behaviors. In this work, the traditional method of sliding mode control is firstly modified for researching conveniently the synchronization tracking of uncertain discrete network. Further, the network sliding mode surface and control input are designed, and their effectiveness are analyzed. At the same time, we also design the adaptive law to identify availably the uncertain configuration coefficient of the network sliding mode surface. Finally, an example about the small-world network is considered to illustrate the application and effectiveness of the proposed scheme.

Suggested Citation

  • Lü, Ling & Chen, Liansong & Bai, Suyuan & Li, Gang, 2016. "A new synchronization tracking technique for uncertain discrete network with spatiotemporal chaos behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 460(C), pages 314-325.
    • Handle: RePEc:eee:phsmap:v:460:y:2016:i:c:p:314-325
    DOI: 10.1016/j.physa.2016.05.037
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    References listed on IDEAS

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    1. M. E. J. Newman & D. J. Watts, 1999. "Renormalization Group Analysis of the Small-World Network Model," Working Papers 99-04-029, Santa Fe Institute.
    2. Fang, Mei, 2015. "Synchronization for complex dynamical networks with time delay and discrete-time information," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 1-11.
    3. Watanabe, Takamitsu, 2013. "Rich-club network topology to minimize synchronization cost due to phase difference among frequency-synchronized oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(5), pages 1246-1255.
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    Citations

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    Cited by:

    1. Li, Wenlin & Gebremariam, Tesfay & Li, Chong & Song, Heshan, 2017. "Synchronization effect for uncertain quantum networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 621-627.
    2. Lü, Ling & Li, Chengren & Bai, Suyuan & Li, Gang & Rong, Tingting & Gao, Yan & Yan, Zhe, 2017. "Synchronization of uncertain time-varying network based on sliding mode control technique," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 808-817.
    3. Li, Wenlin & Li, Chong & Song, Heshan, 2016. "Realization of quantum information processing in quantum star network constituted by superconducting hybrid systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 463(C), pages 427-436.
    4. Jin, Yunguo, 2019. "Parameter recognition for complex networks subjected to noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    5. Lü, Ling & Li, Chengren & Bai, Suyuan & Gao, Liyu & Ge, Lianjun & Han, Changhui, 2017. "Cluster synchronization between uncertain networks with different dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 429-437.
    6. Lü, Ling & Li, Chengren & Li, Gang & Sun, Ao & Yan, Zhe & Rong, Tingting & Gao, Yan, 2017. "Design of synchronization technique for uncertain discrete network group with diverse structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 543-551.
    7. Lü, Ling & Li, Chengren & Li, Gang & Bai, Suyuan & Gao, Xinyu & Zhang, Hanbing, 2017. "Synchronization transmission of spiral wave and turbulence within the uncertain switching network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 85-98.
    8. 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.
    9. Li, Chengren & Lü, Ling & Chen, Liansong & Hong, Yixuan & Zhou, Shuang & Yang, Yiming, 2018. "Cluster synchronization transmission of different external signals in discrete uncertain network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 501(C), pages 238-247.
    10. 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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