Distributed high-order finite-time consensus algorithm for multi-agent systems

This paper addresses the problem of finite-time consensus for multi-agent systems with high-order dynamics. Based on the adding a power integrator technique and the neighbor-based rule, a class of distributed high-order finite-time consensus algorithms are explicitly constructed. Under the proposed finite-time control law, it is shown that the states consensus can be achieved in a finite time. An example is employed to verify the efficiency of the proposed method.