Stability for network flow control against disturbances and time delays
Stability for network flow control against disturbances and time delays
New stability results are presented for Kelly's algorithm for network traffic control. These are applicable to a broad class of algorithms including most of those previously discussed in the literature. Three types of results are derived: an asymptotic stability result for networks with external disturbances but without time delays, an asymptotic stability result for a class of algorithms with a linear cost with both external disturbances and time delays, and a gain stability result for more general algorithms with both disturbances and time delays. The time-delay results are obtained using a gap metric approach.
1063-1098
Bian, Wenming
7fed6a6f-4242-4fdb-9096-cbf73a7d96fc
French, M.
22958f0e-d779-4999-adf6-2711e2d910f8
Prugel-Bennett, Adam
b107a151-1751-4d8b-b8db-2c395ac4e14e
21 March 2013
Bian, Wenming
7fed6a6f-4242-4fdb-9096-cbf73a7d96fc
French, M.
22958f0e-d779-4999-adf6-2711e2d910f8
Prugel-Bennett, Adam
b107a151-1751-4d8b-b8db-2c395ac4e14e
Bian, Wenming, French, M. and Prugel-Bennett, Adam
(2013)
Stability for network flow control against disturbances and time delays.
SIAM Journal on Control and Optimization, 51 (2), .
(doi:10.1137/090750135).
Abstract
New stability results are presented for Kelly's algorithm for network traffic control. These are applicable to a broad class of algorithms including most of those previously discussed in the literature. Three types of results are derived: an asymptotic stability result for networks with external disturbances but without time delays, an asymptotic stability result for a class of algorithms with a linear cost with both external disturbances and time delays, and a gain stability result for more general algorithms with both disturbances and time delays. The time-delay results are obtained using a gap metric approach.
Text
network100810.pdf
- Accepted Manuscript
More information
Published date: 21 March 2013
Organisations:
Southampton Wireless Group
Identifiers
Local EPrints ID: 359876
URI: http://eprints.soton.ac.uk/id/eprint/359876
PURE UUID: adcf177d-6b90-464e-9e57-39dfcb641942
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Date deposited: 15 Nov 2013 14:10
Last modified: 14 Mar 2024 15:30
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Author:
Wenming Bian
Author:
M. French
Author:
Adam Prugel-Bennett
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