Consensus of second-order multi-agent systems with general topology

Abstract

In this paper, we address the consensus of second-order multi-agent dynamical system. We also build a second-order multi-agent model with a general topology. We can obtain a special condition to ensure the consensus of the second-order system. Introducing the Laplace transform, we can have the consensus of the system. Moreover, we obtain the accurate solution of the system. Finally, numerical simulations are presented to verify the theoretical results.