Bauso, D., Blanchini, F., Giarré, L. et al. (1 more author) (2010) A decentralized solution for the constrained minimum cost flow. In: IEEE Conference on Decision and Control. 49th IEEE Conference on Decision and Control (CDC), 2010 IEEE , 661 - 666. ISBN 978-1-4244-7745-6
Abstract
In this paper we propose a decentralized solution to the problem of network stabilization, under flow constraints ensuring steady-state flow optimality. We propose a stabilizing strategy for network flow control with capacity constraints which drives the buffer levels arbitrarily close to a desired reference. This is a decentralized strategy optimizing the flow via the minimization of a quadratic cost of the control. A second problem characterized by non-fully connected networks is also considered, for which an exact network equilibrium is not possible. Here, the strategy, in the absence of constraints leads to a least square decentralized problem, but, unfortunately, in the presence of constraints, it does not solve the constrained least square, but the minimum-distance from the unconstrained least square solution. An extension is considered to networks with intrinsic linear dynamics and we prove that our strategy is flow-optimal, with respect to a certain cost, even in this case.
Metadata
Item Type: | Proceedings Paper |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | © IEEE 2010. |
Dates: |
|
Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 05 Feb 2016 10:34 |
Last Modified: | 05 Feb 2016 10:34 |
Published Version: | http://dx.doi.org/10.1109/CDC.2010.5717723 |
Status: | Published |
Publisher: | IEEE |
Refereed: | Yes |
Identification Number: | 10.1109/CDC.2010.5717723 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:89732 |