Distributed balancing under interval flow constraints in directed communication topologies

Christoforos N. Hadjicostis, Alejandro D. Dominguez-Garcia

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we propose a distributed algorithm that relies on a strongly connected (but possibly directed) communication topology to achieve admissible and balanced flows in a given network. More specifically, we consider a flow network that is described by a digraph (physical topology), each edge of which can admit a flow within a certain interval. The paper proposes and analyzes a distributed iterative algorithm for computing admissible and balanced flows, i.e., flows that are within the given interval at each edge and balance the total inflow and the total out-flow at each node. Unlike previous work that required a communication topology with bidirectional exchanges between pairs of nodes that are physically connected (i.e., nodes that share an edge in the physical topology), the distributed algorithm we propose only requires a communication topology that matches the physical topology (which is, in general, directed). The proposed algorithm allows the nodes to asymptotically (with geometric rate) compute a set of admissible and balanced flows, as long as such solution exists.

Original languageEnglish (US)
Title of host publication2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1070-1075
Number of pages6
ISBN (Electronic)9781509028733
DOIs
StatePublished - Jan 18 2018
Event56th IEEE Annual Conference on Decision and Control, CDC 2017 - Melbourne, Australia
Duration: Dec 12 2017Dec 15 2017

Publication series

Name2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
Volume2018-January

Other

Other56th IEEE Annual Conference on Decision and Control, CDC 2017
CountryAustralia
CityMelbourne
Period12/12/1712/15/17

ASJC Scopus subject areas

  • Decision Sciences (miscellaneous)
  • Industrial and Manufacturing Engineering
  • Control and Optimization

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  • Cite this

    Hadjicostis, C. N., & Dominguez-Garcia, A. D. (2018). Distributed balancing under interval flow constraints in directed communication topologies. In 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017 (pp. 1070-1075). (2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017; Vol. 2018-January). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2017.8263799