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In this paper, the problem of controllability synthesis for compartmental networks is dealt with, in which a given network topology needs to be controllabilized by a leader, with optional arc weights in the network between the leader and each follower vertex. It is proved that a single leader is always sufficient to controllabilize any given network, with proper communication links from the leader...
In this paper, we deal with problems of finding optimal input nodes of multi-agent systems in the sense of convergence rates of the all agents' states to an identical value. We consider two cases; Weakly Controlled Systems and Directly Controlled Systems, respectively, and show that in the both cases, the optimal nodes can be explicitly given by using an alternative index of PageRank, called Alt-PageRank,...
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