摘要

In this paper, a problem on controllability synthesis for dynamic multi-agent systems with high-order linear protocol is addressed. A particular scenario is considered, in which a given system should be adjusted to be controllable by the input information upon the created leaders, with optional communication links from the leaders to each follower vertex in the graph. It is shown that a single leader is always sufficient to satisfy the requirement for controllability of any given graph topology, so long as there are proper links between the leader and the followers.