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Stability for network flow control against disturbances and time delays

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), pp. 1063-1098.

Record type: Article


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.

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Published date: 21 March 2013
Organisations: Southampton Wireless Group


Local EPrints ID: 359876
PURE UUID: adcf177d-6b90-464e-9e57-39dfcb641942

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Date deposited: 15 Nov 2013 14:10
Last modified: 17 Oct 2017 04:43

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Author: Wenming Bian
Author: M. French
Author: Adam Prugel-Bennett

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