Finite-/fixed-time bipartite consensus for first-order multi-agent systems via impulsive control

This paper studies the finite-/fixed-time bipartite consensus (FNTBC and FXTBC) of multi -agent systems (MASs) over signed graph via discontinuous impulsive control while con-sidering both leaderless and leader-following MASs. In contrast to the existing methods of FNTBC and FXTBC, the impulsive control has a better performance in convergence speed and less state information transmission, which is more practical and flexible in real ap-plications. To realize FNTBC and FXTBC for leaderless and leader-following MASs, a class of distributed impulsive control protocols is proposed. Then by utilizing impulsive control theory and finite-/fixed-time stability theory, some sufficient criteria and the settling time which are based on the proposed impulsive control protocols for FNTBC and FXTBC for leaderless and leader-following MASs are derived. It has been shown that the settling time for FNTBC depends on initial conditions of systems, while this limitation is removed for FXTBC. Finally, the proposed impulsive protocols are validated by some simulations, sepa-rately.(c) 2022 Elsevier Inc. All rights reserved.