Second-order consensus of discrete-time multi-agent systems in directed networks with nonlinear dynamics via impulsive protocols

In this paper, we discuss the second-order consensus problem of discrete-time multi-agent systems with fixed and switching topology. Impulsive protocols are introduced for such multi-agent systems with non-linear dynamics. The consensus problem of multi-agent systems is analyzed by algebraic graph theory and matrix theory, where a connection of impulsive control methods and network topologies is established. Our main results indicate that the second-order consensus of multi-agent systems can be achieved if the graphs of the topology are balanced and strongly connected under suitable conditions. Numerical simulations are presented to support the theoretical results. (C) 2018 Elsevier B.V. All rights reserved.