1 research outputs found
Destructive nodes in multi-agent controllability
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.Comment: 27 page