Stability And Hopf Branch of A FAST TCP/RED Network Congestion Model with Feedback Control

SU Xiao-ya; ZHAI Yan-hu

doi:https://doi.org/10.14445/22315373/IJMTT-V65I12P502

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 12 | Year 2019 | Article Id. IJMTT-V65I12P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I12P502

Stability And Hopf Branch of A FAST TCP/RED Network Congestion Model with Feedback Control

SU Xiao-ya, ZHAI Yan-hu

Citation :

SU Xiao-ya, ZHAI Yan-hu, "Stability And Hopf Branch of A FAST TCP/RED Network Congestion Model with Feedback Control," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 12, pp. 10-24, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I12P502

Abstract

This paper mainly investigated aFAST TCP/RED network congestion model with a hybrid controller by using the control and bifurcation theory and discussed the effect of the communication delay on the stability. It is found that the hybrid controller can effectively delay the generation of Hopf branch and increase the stability of wireless network.Besides, the linear stability of the model and the local Hopf bifurcation are studied and we derived the conditions for the stability and the existence of Hopf bifurcation at the equilibrium of the system. At last, some numerical simulation results are confirmed that the feasibility of the theoretical analysis.

Keywords

Hopf bifurcation,Stability,Normal form theory,Center manifold theorem,Congestion control

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