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Robust synchronization of two different uncertain fractional-order chaotic systems via adaptive sliding mode control

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Abstract

This paper proposes a novel robust fractional-order sliding mode approach for the synchronization of two fractional-order chaotic systems in the presence of system parameter uncertain and external disturbance. An adaptive sliding mode controller is constructed resorted to the designed fractional integral type sliding surface. Based on the Lyapunov stability theorem, the stability of the closed error system is proved. Finally, a numerical simulation is performed to illustrate the effectiveness of the proposed method.

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Acknowledgments

This study was supported by National Natural Science Foundation of China under Grants 60974051, 61273144, Natural Science Foundation of Beijing under Grant 4122071, Fundamental Research Funds for the Central Universities under Grant 12MS143, the Construction Project from Beijing Municipal Commission of Education, and the Beijing Foundation of supporting for the central University in Beijing.

Conflict of interest

The authors declare that they have no competing interest.

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Authors and Affiliations

  1. Department of Mathematics and Physics, North China Electric Power University, Baoding, 071003, People’s Republic of China

    Longge Zhang & Yan Yan

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  1. Longge Zhang
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  2. Yan Yan
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Correspondence to Longge Zhang.

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Zhang, L., Yan, Y. Robust synchronization of two different uncertain fractional-order chaotic systems via adaptive sliding mode control. Nonlinear Dyn 76, 1761–1767 (2014). https://doi.org/10.1007/s11071-014-1244-1

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