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Hybrid control of Hopf bifurcation in a dual model of Internet congestion control system

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Abstract

In this paper, a hybrid control strategy using both state feedback and parameter perturbation is applied to control the Hopf bifurcation in a dual model of Internet congestion control system. By choosing communication delay as a bifurcation parameter, it is proved that when it passes through a critical value, a Hopf bifurcation occurs. However, by adjusting the control parameters of the hybrid control strategy, the Hopf bifurcation has been delayed without changing the original equilibrium point of the system. Theoretical analysis and numerical results show that this method can delay the onset of bifurcation effectively. Therefore, it can extend the stable range in parameter space and improve the performance of congestion control system.

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Acknowledgments

This paper was supported by NSFC-Guangdong Joint Fund (No:U1201255), the National Natural Science Foundation of China (No:61201227 and No:61172127), the Natural Science Foundation of Anhui (No:1208085MF93) (No:1208085MF93), 211 Innovation Team of Anhui University (No: KJTD007A and No:KJTD001B), Young-backbone Teacher Project of Anhui University, The Doctoral Scientific Research Foundation of Anhui University.

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Authors and Affiliations

  1. Department of Electronics and Information Engineering, Anhui University, Hefei , 230039, China

    Da-Wei Ding, Xue-Mei Qin, Nian Wang, Ting-Ting Wu & Dong Liang

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  1. Da-Wei Ding
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  2. Xue-Mei Qin
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  3. Nian Wang
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  4. Ting-Ting Wu
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  5. Dong Liang
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Correspondence to Da-Wei Ding.

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Ding, DW., Qin, XM., Wang, N. et al. Hybrid control of Hopf bifurcation in a dual model of Internet congestion control system. Nonlinear Dyn 76, 1041–1050 (2014). https://doi.org/10.1007/s11071-013-1187-y

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  • DOI: https://doi.org/10.1007/s11071-013-1187-y

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