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Projective synchronization of a class of complex network based on high-order sliding mode control

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Abstract

Projective synchronization of a class of complex networks is investigated using second-order sliding mode control. The sliding surface and the control input are designed based on stability theory. The Burgers system with spatiotemporal chaotic behavior in the physics domain is taken as nodes to constitute the complex network, and the Fisher–Kolmogorov system is taken as the tracking target. The artificial simulation results show that the synchronization technique is effective.

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Acknowledgements

This research was supported by the Natural Science Foundation of Liaoning Province, China (Grant No. 20082147) and the Innovative Team Program of Liaoning Educational Committee, China (Grant No. 2008T108).

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Authors and Affiliations

  1. College of Physics and Electronic Technology, Liaoning Normal University, Dalian, 116029, China

    Ling Lü, Miao Yu, Chengren Li, Shuo Liu, Bingbing Yan, Huan Chang, Jianan Zhou & Ye Liu

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  1. Ling Lü
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  2. Miao Yu
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  3. Chengren Li
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  4. Shuo Liu
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  5. Bingbing Yan
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  8. Ye Liu
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Correspondence to Shuo Liu.

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Lü, L., Yu, M., Li, C. et al. Projective synchronization of a class of complex network based on high-order sliding mode control. Nonlinear Dyn 73, 411–416 (2013). https://doi.org/10.1007/s11071-013-0796-9

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