Containment control problems for high-order linear time-invariant multi-agent systems with
fixed communication time-delays are investigated. Based on Lyapunov-Krasovskii functional
method and the linear matrix inequality (LMI) method, sufcient conditions on the
communication digraph, the feedback gains, and the allowed upper bound of the delays to
ensure containment control of the multi-agent systems under the different containment
control algorithms are given. Finally, numerical simulations are presented to demonstrate …

This paper considers the containment control problems for both continuous‐time and
discrete‐time multi‐agent systems with general linear dynamics under directed
communication topologies. Distributed dynamic containment controllers based on the
relative outputs of neighboring agents are constructed for both continuous‐time and discrete‐
time cases, under which the states of the followers will asymptotically converge to the
convex hull formed by those of the leaders if, for each follower, there exists at least one …