Abstract | ||
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Stability proofs of nonlinear congestion control systems under heterogeneous feedback delays are usually difficult and involve a fair amount of effort. In this paper, we show that there exist a class of congestion control methods that admit very simple proofs of asymptotic stability and allow control equations to be delay-independent. This is in contrast to most previous work, which requires that each flow (and sometimes each router) adapt its control-loop constants based on the feedback delay and/or the length of the corresponding end-to-end path. Our new congestion control method, which we call Max-Min Kelly Control (MKC), builds upon Kelly's original work in and allows end-flows to be stable and fair regardless of network feedback delays or the number of hops in their end-to-end paths. Using basic matrix algebra and discrete control theory, we show MKC's local asymptotic stability under heterogeneous, directional feedback delays. We also offer a simple proof of its global asymptotic stability assuming constant feedback delay. |
Year | DOI | Venue |
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2008 | 10.1109/TAC.2008.2007135 | IEEE Trans. Automat. Contr. |
Keywords | Field | DocType |
Delay systems,Control systems,Feedback,Asymptotic stability,Internet,Delay estimation,Nonlinear control systems,Proportional control,Nonlinear equations,Matrices | Mathematical optimization,Nonlinear system,Control theory,Nonlinear control,Exponential stability,Mathematical proof,Network congestion,Router,Control system,Traffic congestion,Mathematics | Journal |
Volume | Issue | ISSN |
53 | 10 | 0018-9286 |
Citations | PageRank | References |
1 | 0.35 | 11 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Yueping Zhang | 1 | 435 | 23.69 |
Dmitri Loguinov | 2 | 1298 | 91.08 |