Target Controllability of Networked LTI Systems

A generalized-eigenvector-based condition is derived for the target controllability, which is necessary and sufficient. It is then applied to networked MIMO LTI systems with some lower-dimensional conditions established. These conditions are easily-verified, which explicitly show how the node-system dynamics, network topology, inner couplings, target-node positions, and external control inputs affect the target controllability of the network. Then, the target controllability of multi-agent systems is revisited. The omission of the criterion given in (Guan and Wang, 2019) is revealed. As a remedy, a modified criterion is suggested. Several examples show the effectiveness of the conditions.