scholarly journals Hopf bifurcation control of the Rössler system based on Washout filter controller

2011 ◽  
Vol 60 (5) ◽  
pp. 050504
Author(s):  
Wu Zhi-Qiang ◽  
Sun Li-Ming
Keyword(s):  
Hopf Bifurcation ◽  
Bifurcation Control ◽  
Washout Filter

scholarly journals Hopf Bifurcation Control in a Lorenz Type System

2018 ◽  
Vol 06 (08) ◽  
pp. 1704-1719
Author(s):  
P. E. Calderon-Saavedra ◽  
E. Munoz-Aguirre ◽  
J. Alvarez-Mena ◽  
S. Gomez-Perez
Keyword(s):  
Hopf Bifurcation ◽  
Type System ◽  
Bifurcation Control

Hopf bifurcation control of congestion control model in a wireless access network

2014 ◽  
Vol 144 ◽  
pp. 159-168 ◽  
Author(s):  
Dawei Ding ◽  
Xuemei Qin ◽  
Tingting Wu ◽  
Nian Wang ◽  
Dong Liang
Keyword(s):  
Hopf Bifurcation ◽  
Congestion Control ◽  
Access Network ◽  
Control Model ◽  
Bifurcation Control ◽  
Wireless Access ◽  
Wireless Access Network

scholarly journals Hopf Bifurcation Control in a FAST TCP and RED Model via Multiple Control Schemes

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Dawei Ding ◽  
Chun Wang ◽  
Lianghui Ding ◽  
Nian Wang ◽  
Dong Liang
Keyword(s):  
Hopf Bifurcation ◽  
Time Delay ◽  
Feedback Control ◽  
Congestion Control ◽  
State Feedback ◽  
Feedback Controller ◽  
Bifurcation Control ◽  
Fast Tcp ◽  
Hybrid Controller ◽  
Control Schemes

We focus on the Hopf bifurcation control problem of a FAST TCP model with RED gateway. The system gain parameter is chosen as the bifurcation parameter, and the stable region and stability condition of the congestion control model are given by use of the linear stability analysis. When the system gain passes through a critical value, the system loses the stability and Hopf bifurcation occurs. Considering the negative influence caused by Hopf bifurcation, we apply state feedback controller, hybrid controller, and time-delay feedback controller to postpone the onset of undesirable Hopf bifurcation. Numerical simulations show that the hybrid controller is the most sensitive method to delay the Hopf bifurcation with identical parameter conditions. However, nonlinear state feedback control and time-delay feedback control schemes have larger control parameter range in the Internet congestion control system with FAST TCP and RED gateway. Therefore, we can choose proper control method based on practical situation including unknown conditions or parameter requirements. This paper plays an important role in setting guiding system parameters for controlling the FAST TCP and RED model.

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