Group controllability of continuous-time multi-agent systems

This study addresses the group controllability of continuous-time multi-agent systems. The problem is investigated in the leaderless framework where the whole group is consisted of a number of dynamic agents with autonomous capability, which can complete the large-scale complex task through local interaction and can be divided into some subgroups. This study concentrates on the group controllability problems of continuous-time multi-agent systems, gives the general definition of the group controllability, and establishes group controllability criteria. Sufficient and necessary conditions are derived for the group controllability of continuous-time multi-agent systems. Finally, the numerical example and simulations are given to illustrate the theoretical results.