Efficient Algorithms for the Consensus Decision Problem
Systems and Control
2015-05-22 v3 Multiagent Systems
Optimization and Control
Abstract
We address the problem of determining if a discrete time switched consensus system converges for any switching sequence and that of determining if it converges for at least one switching sequence. For these two problems, we provide necessary and sufficient conditions that can be checked in singly exponential time. As a side result, we prove the existence of a polynomial time algorithm for the first problem when the system switches between only two subsystems whose corresponding graphs are undirected, a problem that had been suggested to be NP-hard by Blondel and Olshevsky.
Cite
@article{arxiv.1409.6505,
title = {Efficient Algorithms for the Consensus Decision Problem},
author = {Pierre-Yves Chevalier and Julien M. Hendrickx and Raphaël M. Jungers},
journal= {arXiv preprint arXiv:1409.6505},
year = {2015}
}
Comments
Small modifications after comments from reviewers