Graph-theoretic characterisations of the steady states for containment control
Anhui Zhang, Jian Chen, Shijie Zhang, Xianren Kong, Feng Wang · International Journal of Control · 2012
Containment control is a consensus-like protocol whose objective is to drive all the followers into the convex hull formed by the leaders. The steady states of the followers have great effect on system performance. Two kinds of cell partitions from graph theory are employed to investigate the reflections of the information topology on the steady states of the followers. It is proved that agents that belong to the same cell have the same steady states.