Title
Global Stability Analysis for an Internet Congestion Control Model with a Time-Varying Link Capacity
Abstract
In this paper, a global stability analysis is given for a rate-based congestion control system modeled by a nonlinear delayed differential equation. The model determines the dynamics of a single-source single-link network, with a time-varying capacity of link and a fixed communication delay. We obtain a sufficient delay-independent conditions on system parameters under which global asymptotic stability of the system is guarantied. The proof is based on an extension of Lyapunov-Krasovskii theorem for a class of nonlinear time-delay systems. The numerical simulations for a typical scenario justify the theoretical results.
Year
Venue
Keywords
2009
Clinical Orthopaedics and Related Research
system modeling,delay differential equation,numerical simulation
Field
DocType
Volume
Differential equation,Nonlinear system,Control theory,Computer science,Exponential stability,Network congestion,Internet congestion control
Journal
abs/0906.4
ISSN
Citations 
PageRank 
IJCSIS June 2009 Issue, Vol. 2, No. 1
0
0.34
References 
Authors
9
4
Name
Order
Citations
PageRank
rezaie1134.68
motlagh2227.50
Morteza Analoui312424.94
khorsandi48716.83