Specified finite-time containment tracking for multiple high-order linear multi-agent systems

This paper addresses the distributed specified-time containment control problem for multi-agent systems with general linear dynamics. A novel class of distributed containment controller are developed. For a specific time in advance, the designed controller ensures the containment control of linear multi-agent systems if the undirected topology is connected. In particular, the settling time can be off-line pre-specified according to task requirements.