Distributed formation of balanced and bistochastic weighted digraphs in multi-agent systems

Themistoklis Charalambous, Christoforos N. Hadjicostis

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

8 Citations (Scopus)


We propose two distributed algorithms, one for solving the weight-balance problem and another for solving the bistochastic matrix formation problem, in a distributed system whose components (nodes) can exchange information via interconnection links (edges) that form an arbitrary, possibly directed, strongly connected communication topology (digraph). Both distributed algorithms achieve their goal asymptotically and operate iteratively by having each node adapt the (nonnegative) weights on its outgoing edges based on the weights of its incoming links.The weight-balancing algorithm is shown to admit geometric convergence rate, whereas the second algorithm, which is a modification of the weight-balancing algorithm, leads asymptotically to a bistochastic digraph with geometric convergence rate for a certain set of initial values. The two algorithms perform better than existing approaches, as illustrated by the examples we provide.

Original languageEnglish
Title of host publication2013 European Control Conference, ECC 2013
Number of pages6
Publication statusPublished - 2013
MoE publication typeA4 Article in a conference publication
EventEuropean Control Conference - ETH Zurich, Zurich, Switzerland
Duration: 17 Jul 201319 Jul 2013


ConferenceEuropean Control Conference
Abbreviated titleECC


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