Title
Global stability analysis of computer networks with arbitrary topology and time-varying delays
Abstract
In this paper, we determine the delay-dependent conditions of global asymptotic stability for a class of multi-dimensional nonlinear time-delay systems with application to computer communication networks. A nonlinear delayed model is considered for a rate-based congestion control system of a heterogeneous network with arbitrary topology and time-varying delays. We propose a Lyapunov-based method to obtain a sufficient condition under which global asymptotic stability of the equilibrium is guaranteed. The main contribution of the paper lies in considering time variations of delays in a heterogeneous network which may be applicable in actual networks. Moreover, we obtain conditions for Internet-style networks with multi-source multi-link topology. We first prove the stability for a class of nonlinear time-delay systems. Then, we apply the results to a Kelly’s rate-based approximation of the congestion control system.
Year
DOI
Venue
2010
10.1631/jzus.C0910216
Journal of Zhejiang University: Science C
Keywords
Field
DocType
heterogeneous network,congestion control,computer network
Topology,Mathematical optimization,Nonlinear system,Control theory,Computer science,Computer communication networks,Exponential stability,Network congestion,Internet congestion control,Heterogeneous network
Journal
Volume
Issue
ISSN
11
3
1869-196X
Citations 
PageRank 
References 
1
0.36
27
Authors
9
Name
Order
Citations
PageRank
behrooz110.36
rezaie2134.68
mohammadreza310.36
jahed410.36
motlagh5227.50
siavash610.36
khorsandi78716.83
morteza810.36
Morteza Analoui912424.94