Asynchronous impulsive control for consensus of second-order multi-agent networks

Abstract This paper addresses the asynchronous consensus problems of second-order multi-agent networks (MANs) with sampled-data communication, where each agent has its own time clock. An impulsive control is designed to achieve second-order consensus of the considered MANs under such asynchronous setting. By analyzing the presented impulsive control strategy with the discretization method, nonnegative matrix theory and graph theory, some sufficient consensus criteria, on the range of the sampling periods and the control gains of the presented control strategy, are established for multi-agent systems under the asynchronous setting. Finally, a simulation example is presented to show the effectiveness of the proposed control and the correctness of the theoretical analysis.