Algebraic Characterizations of Consensus Problems for Networked Dynamic Systems
统计理论
2007-06-13 v1 最优化与控制
统计理论
摘要
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.
引用
@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}
}