Stability analysis and hopf bifurcation control for a wireless network model

被引:1
作者
Liu F. [1 ]
Yin X. [1 ]
Wang X. [1 ]
Liu W. [1 ]
Wei L. [1 ]
Wang H.O. [2 ]
机构
[1] School of Automation, China University of Geosciences, No. 388 Lumo Road, Hongshan District, Wuhan, Hubei
[2] Department of Mechanical Engineering, Boston University, Boston, 02215, MA
关键词
Bifurcation control; Hopf bifurcation; Stability; Wireless network;
D O I
10.20965/jaciii.2016.p0212
中图分类号
学科分类号
摘要
A wireless network model with the hybrid control is considered. The stability and Hopf bifurcation behavior of the wireless network model are investigated. The stability analysis and the parameter condition that the Hopf bifurcation occurs are deduced. The stability and direction of the bifurcating periodic solutions are analyzed by applying the normal form theory and the center manifold theorem. Numerical simulations demonstrate the complex behavior of the system and verify the theoretical analysis.
引用
收藏
页码:212 / 222
页数:10
相关论文
共 24 条
[1]  
Jacobson V., Congestion avoidance and control, ACM SIG-COMM Comput. Commun. Rev., 18, 4, pp. 314-329, (1998)
[2]  
Floyd S., Jacobson V., Random early detection gateways for congestion avoidance, IEEE/ACM Trans. Netw., 1, 4, pp. 397-413, (1993)
[3]  
Misra V., Gong W.B., Towlsey D., Fluid-based analysis of a network of AQM routers supporting TCP flows with an application to RED, ACM SIGCOMM, pp. 151-160, (2000)
[4]  
Hepanha J.P., Bohacek S., Obrxzka K., Lee J., Hybrid modeling of TCP congestion control, Lect. Notes Comput. Sci., 2034, pp. 291-304, (2001)
[5]  
Katabi D., Handley M., Rohrs C., Congestion control for high bandwidth-delay product networks, ACM SIGCOMM, (2002)
[6]  
Floyd S., HighSpeed TCP for Large Congestion Windows, pp. 36-49, (2003)
[7]  
Jin C., Wei D.X., Low S.H., FAST TCP: Motivation, architecture, algorithms, performance, IEEE INFOCOM, (2004)
[8]  
Kelly T., Scalable TCP: Improving performance in high speed wide area networks, Computer Communication Review, 32, 2, (2003)
[9]  
Hollot C.V., Misra V., Towsley D., Gong W.B., A control theoretic analysis of RED, IEEE INFOCOM, (2001)
[10]  
Low S.H., Paganini F., Wang J., Adlakha S., Doyle J.C., Dynamics of TCP/RED and a scalable control, IEEE INFOCOM, (2002)