Tropical Algebraic approach to Consensus over Networks
Optimization and Control
2011-09-05 v1 Discrete Mathematics
Systems and Control
Abstract
In this paper we study the convergence of the max-consensus protocol. Tropical algebra is used to formulate the problem. Necessary and sufficient conditions for convergence of the max-consensus protocol over fixed as well as switching topology networks are given.
Cite
@article{arxiv.1109.0418,
title = {Tropical Algebraic approach to Consensus over Networks},
author = {Joel George Manathara and Ambedkar Dukkipati and Dabasish Ghose},
journal= {arXiv preprint arXiv:1109.0418},
year = {2011}
}