Fixed-time bipartite consensus of nonlinear multi-agent systems under directed signed graphs with disturbances

This paper considers the fixed-time bipartite consensus of nonlinear multi-agent systems (MASs) subjected to external disturbances. Under the directed signed networks, several sufficient conditions are proposed to guarantee the fixed-time bipartite consensus of MASs with or without leaders, respectively. Some discontinuous control protocols are developed to realize fixed-time tracking bipartite consensus of MASs with a leader. Moreover, the fixed-time leaderless bipartite consensus under directed signed graph are discussed as well. Two numerical examples are given to verify the effectiveness of the theoretical results. (C) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

Automated summary

This paper investigates the fixed-time bipartite consensus of nonlinear multi-agent systems subjected to external disturbances. Under the directed signed networks, several sufficient conditions are proposed to ensure the fixed-time bipartite consensus of MASs with or without leaders. Discontinuous control protocols are developed to achieve fixed-time tracking bipartite consensus of MASs with a leader. Furthermore, the fixed-time leaderless bipartite consensus under directed signed graph is discussed. Two numerical examples are provided to verify the effectiveness of the theoretical results.