Leader-Following consensus of nonlinear multi-agent systems with hybrid delays: Distributed impulsive pinning strategy

Highlights：

• A novel distributed impulsive pinning control strategy is proposed in order to realize the consensus of the nonlinear multi-agent systems, which could reduce the control time effectively and save the control costs efficiently compared with some previous related control methods like [29,30].

• Different from [22,24], wider ranges of impulsive effects including the positive and negative effects are studied in this paper. In addition, based on the different roles of the impulsive effects playing, the convergence rates of nonlinear multi-agent systems are precisely calculated.

摘要

•Different from most of the previous works like [25,26,27,28], both the general time-varying delay and the distributed time-varying delay are considered simultaneously in modeling of the nonlinear multi-agent systems because of different kinds of information transmissions in some systems and networks.•A novel distributed impulsive pinning control strategy is proposed in order to realize the consensus of the nonlinear multi-agent systems, which could reduce the control time effectively and save the control costs efficiently compared with some previous related control methods like [29,30].•Different from [22,24], wider ranges of impulsive effects including the positive and negative effects are studied in this paper. In addition, based on the different roles of the impulsive effects playing, the convergence rates of nonlinear multi-agent systems are precisely calculated.

论文评审过程：Received 25 September 2021, Revised 29 December 2021, Accepted 14 February 2022, Available online 26 February 2022, Version of Record 26 February 2022.