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Stabilization of fractional-order coupled systems with time delay on networks

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Abstract

Stabilization problem for a class of fractional-order nonlinear coupled systems on networks is addressed in the paper. By using Kirchhoff’s matrix tree theory and comparison principle, a state feedback control law is presented to stabilize such systems. The controller design approach could be adapted to many classes of fractional-order delayed coupled systems in ecology, biology and engineering. An example is presented to illustrate the effectiveness of our proposed method.

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Acknowledgements

The authors would like to thank the anonymous referees and the editor for their valuable comments and suggestions. This work was supported by the National Natural Science Funds of China (No.61403115; 11571016; 51177035; 51577046), the State Key Program of National Natural Science Foundation of China(No. 51637004), the national key research and development plan “important scientific instruments and equipment development” (No.2016YFF0102200), the Natural Science Foundation of Anhui Province (No. 1508085QF120) and the Fundamental Research Funds for the Central Universities(No. JZ2016HGTB0718; No. JZ2016HGXJ0022).

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Authors and Affiliations

  1. School of Electrical Engineering and Automation, Hefei University of Technology, Hefei, 230009, China

    Liping Chen, Zhaobi Chu & Yigang He

  2. School of Mathematics, Anhui University, Hefei, 230039, China

    Ranchao Wu

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  1. Liping Chen
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  2. Ranchao Wu
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  3. Zhaobi Chu
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Correspondence to Liping Chen or Yigang He.

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Chen, L., Wu, R., Chu, Z. et al. Stabilization of fractional-order coupled systems with time delay on networks. Nonlinear Dyn 88, 521–528 (2017). https://doi.org/10.1007/s11071-016-3257-4

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