Sampled-data leader-following consensus of nonlinear multi-agent systems subject to impulsive perturbations

Abstract

In this paper, the sampled-data leader-following consensus is investigated for a class of nonlinear multi-agent systems, where all agents are influenced by impulsive perturbations emerging from the input channels. Using the algebraic graph theory, the leader-following consensus problem of the multi-agent system is transformed into the stability problem of a constructed error system. By the Lyapunov functional method and the impulsive system theory, sufficient conditions for leader-following consensus of the underlying multi-agent systems are given. The proposed results are then extended to the containment control of multi-agent systems with multiple leaders. Finally, two numerical examples are presented to show the validity of the proposed results.