Finite-time containment control of multi-agent systems with static or dynamic leaders

This paper establishes a novel finite-time containment control framework for multi-agent systems such that the containment control problem can be solved at any preset time with static or dynamic leaders. In order to reach this goal, nonlinear feedback control protocols are introduced. We prove that the proposed protocols can solve containment problems at the preset time if the communication graph has a spanning forest. Numerical simulations are presented to illustrate the effectiveness of the obtained theoretical results.