Distributed Cluster Consensus of Higher-Order Linear Continuous-Time Systems with Input Delay

This paper studies the higher-order cluster consensus problem for linear multi-agent systems with fixed input delay. It is proved that there is always a non-empty set of control parameters that makes a delayed third-order system stable. In light of this result, a control parameter selection procedure is proposed for higher-order systems under fixed input delay. Theoretical results are verified by numerical examples.Copyright (C) 2022 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)