Prescribed-time bipartite consensus control for uncertain nonlinear multiagent systems with undirected and directed topologies

Abstract

This paper presents the prescribed-time bipartite consensus (PTBC) problem of uncertain nonlinear multiagent systems (MASs) under undirected and directed topologies. Based on graph theory and the parametric Lyapunov equation, two PTBC criteria for uncertain nonlinear MASs with an undirected network and switching network are discussed by the bounded distributed time-varying control strategies. Moreover, the PTBC problem for uncertain nonlinear MASs under a strongly connected digraph is addressed using a prescribed-time protocol, and the PTBC problem for MASs under a digraph that contains a spanning tree is further developed. Finally, the effectiveness of the proposed control strategies is verified via Chua’s circuit and unmanned surface vessel.