Distributed control of multi-agents system via static feedback controllers under directed networks

During recent years, a lot of distributed control approaches based on static feedback controllers have been proposed to realize consensus of multi-agents systems with undirected topologies. However, many of these approaches have not been generalized to systems with directed topologies yet. Therefore, in this paper, for first- and second-order multi-agents systems with directed topologies, we propose a series of new nonlinear consensus protocols based on traditional design. With integral Lyapunov functions, we can prove the stability of proposed control protocols and a group of simulation results are also given to testify our theory.