Controllability of Hybrid Multiagent Systems Based on Matrix-Weights

A large number of results on the coordinated control of multi-agent systems (MASs) focus on the same dynamic agents with scalar-weights. This work studies the controllability problem of leader-follower matrix-weighted hybrid MASs with continuous- and discrete-time dynamics. Several necessary and/or sufficient conditions on the controllability of hybrid MASs are derived by the Laplacian matrix partition. Particularly, the case of isolated agents is also considered. At last, the example and simulation are provided to verify the theoretical results.