This paper studies finite-time consensus problems of the leaderless second-order multi-agent systems over directed networks. By adopting matrix theory, algebraic graph theory and finite-time stability techniques, a class of continuous distributed control algorithms are designed for a nonlinear system which is considered as a controlled second-order equation with/without drift term to solve consensus problem in a finite-time. A numerical example is employed to illustrate the effectiveness of the obtained results.

finite-time consensus, leaderless, second-order multi-agent systems, directed networks.