Destructive nodes in multi-agent controllability
Systems and Control
2015-06-19 v1
Abstract
In this paper, several necessary and sufficient graphical conditions are derived for the controllability of multi-agent systems by taking advantage of the proposed concept of controllability destructive nodes. A key step of arriving at this result is the establishment of a relationship between topology structures of the controllability destructive nodes and a specific eigenvector of the Laplacian matrix. The results on double, triple and quadruple controllability destructive nodes constitute a novel approach to study the controllability. In particular, the approach is applied to the graph consisting of five nodes to get a complete graphical characterization of controllability.
Keywords
Cite
@article{arxiv.1506.05713,
title = {Destructive nodes in multi-agent controllability},
author = {Zhijian Ji and Tongwen Chen and Haisheng Yu},
journal= {arXiv preprint arXiv:1506.05713},
year = {2015}
}
Comments
27 pages