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Local and Global Stability of Delayed Congestion Control Systems.
- Source :
-
IEEE Transactions on Automatic Control . Nov2008, Vol. 53 Issue 10, p2356-2360. 5p. 1 Graph. - Publication Year :
- 2008
-
Abstract
- 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 some- times 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-Mm Kelly Control (MKC), builds upon Kelly's original work in [3] 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189286
- Volume :
- 53
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Automatic Control
- Publication Type :
- Periodical
- Accession number :
- 35420306
- Full Text :
- https://doi.org/10.1109/TAC.2008.2007135