Title
Stability of discrete-time systems with time-varying delays
Abstract
Congestion control and the associated issue of stability of communication networks have attracted considerable atten- tion recently. The resulting problems are extremely diffi- cult to solve due to the presence of several sources of time- varying delays. Due mainly to the fact that the ensuing mod- els are non-trivial, most existing work relies on simplified piecewise time-invariant models to describe these network delays. This however may not capture important aspects of network behavior especially when dealing with high-speed networks. Study of such networks requires a better under- standing of the dynamics of time-varying delays encoun- tered in discrete-time systems. In this paper, we identify and propose the models for two distinctly different types of such delays. These models can accommodate network- and application-specific delay variations; their flexibility is demonstrated in a distributed sensor network setting. A sta- bility result that accounts for time-varying delays and non- linearities of the type one typically encounters in high-speed communication networks is also presented.
Year
DOI
Venue
2001
10.1109/ACC.2001.946262
American Control Conference, 2001. Proceedings of the 2001
Keywords
DocType
Volume
Markov processes,asymptotic stability,delays,discrete time systems,stochastic systems,telecommunication congestion control,time-varying systems,asymptotic stability,congestion control,discrete-time systems,distributed sensor network,exponential stability,high-speed networks,network behavior,time-varying delays
Conference
5
ISSN
ISBN
Citations 
0743-1619
0-7803-6495-3
1
PageRank 
References 
Authors
0.36
3
3
Name
Order
Citations
PageRank
Ekanayake, M.M.110.36
Premaratne, K.210.36
Douligeris, C.351.82