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Control of Hopf Bifurcation in a Fluid-Flow Model in Wireless Networks |
XU Chao1,2,ZHOU Yunlong2,WANG Yang2 |
(1. Anhui Provincial Laboratory of Micronano Electronic Devices and Circuit Design, Hefei 230601, China; 2. Key Laboratory of Intelligent Computing and Signal Processing of the Ministry of Education, Anhui University, Hefei 230601, China) |
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Abstract Abstract: Aimed at the Hopf bifurcation problem of a fluid-flow model for the congestion control in wireless networks, comparative experiments of three kinds of control method were conducted in this paper. By choosing the communication delay as a bifurcation parameter, it was proved that with three kinds of the controller, the critical value of bifurcation were changed and the stable region were enlarged, and the Hopf bifurcation of the system was delayed. Numerical results verified that the performance of the Hopf bifurcation with delay feedback controller, the performance of the hybrid controller and the performance of the state feedback controller in a wireless network were different; the state feedback controller can most effectively control Hopf bifurcation of the system, followed by the hybrid controller.
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Received: 18 November 2013
Published: 18 November 2013
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