Algebraic Characterizations of Consensus Problems for Networked Dynamic Systems
Statistics Theory
2007-06-13 v1 Optimization and Control
Statistics Theory
Abstract
In this paper, we study the consensus problem for networked dynamic systems with arbitrary initial states, and present some structural characterization and direct construction of consensus functions. For the consensus problem under similar transformation, we establish some necessary and sufficient conditions by exploiting the structure of consensus functions. Finally, we discuss the consensus problem for dynamic systems under switching by using the common Lyapunov function method.
Cite
@article{arxiv.math/0502339,
title = {Algebraic Characterizations of Consensus Problems for Networked Dynamic Systems},
author = {Long Wang and Hong Shi and Feng Xiao},
journal= {arXiv preprint arXiv:math/0502339},
year = {2007}
}