Control of Hopf bifurcation in Internet congestion control model via time-delayed feedback control

被引:0
作者
Xu, Xian-Fan [1 ]
Fan, Guo [1 ]
Ding, Da-Wei [1 ,2 ]
Yi, Liu [1 ]
Han, Liu-Jun [1 ]
机构
[1] School of Electronics and Information Engineering, Anhui University, 230601, Hefei
[2] Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, 230039, Hefei
基金
中国国家自然科学基金;
关键词
Bifurcation control; Internet congestion control; Jopf bifurcation; Time-delayed feedback;
D O I
10.3923/itj.2013.4493.4497
中图分类号
学科分类号
摘要
In this study, we are concerned with controlling Hopf bifurcation in a dual model of Internet congestion control algorithms. The stability of this system depends on a communication delay parameter, and Hopf bifurcation occurs when the communication delay passes through a critical value. Comparing with previous work, a time-delayed feedback method is proposed to postpone the onset of undesired Hopf bifurcation and improve stability of the dual model. Theoretical analysis and numerical simulation are provided to verify the effectiveness of our method. © 2013 Asian Network for Scientific Information.
引用
收藏
页码:4493 / 4497
页数:4
相关论文
共 7 条
[1]  
Ding D., Zhu J., Luo X., Hopf bifurcation analysis in a fluid flow model of Internet congestion control Algorithm, Nonlinear Anal.: Real World Appl., 10, pp. 824-839, (2009)
[2]  
Ding D.W., Zhu J., Luo X.S., Hybrid control of bifurcation and chaos in stroboscopic model of Internet congestion control system, Chin. Physics B, 17, pp. 105-110, (2008)
[3]  
Guo S., Feng G., Liao X., Liu Q., Hopf bifurcation control in a congestion control model via dynamic delayed feedback, Chaos: Interdisciplinary J. Nonlinear Sci., 18, (2008)
[4]  
Liu F., Wang H.O., Guan Z.H., Hopf bifurcation control in the XCP for the Internet congestion control system, Nonlinear Anal.: Real World Appl., 13, pp. 1466-1479, (2012)
[5]  
Liu F., Guan Z.H., Wang H.O., Stability and Hopf bifurcation analysis in a TCP fluid model, Nonlinear Anal: Real World Appl., 12, pp. 353-363, (2011)
[6]  
Nguyen L.H., Hong K.S., Hopf bifurcation control via a dynamic state-feedback control, Physics Lett. A, 376, pp. 442-446, (2012)
[7]  
Van Gorder R.A., Choudhury S.R., Analytical Hopf bifurcation and stability analysis of T system, Commun. Theor. Physics, 55, pp. 609-609, (2011)