Finite-time consensus of nonlinear delayed multi-agent system via state-constraint impulsive control under switching topologies

This article focuses on a finite-time consensus of nonlinear multi-agent systems (MASs) by state-constraint impulsive control protocol. Different from the traditional impulsive control strategy, a state-constraint impulsive control protocol is raised to enhance the stability of MASs, where the discontinuous controller constrains the intensity of the impulsive control to a specific range, avoiding the deviation between the actual impulsive control intensity and theoretical impulsive control intensity. Contrasted to the traditional infinite-time convergence, the finite-time control mechanism shortens the setting time greatly and improves the robustness of the system by introducing finite-time control parameters and fractional powers theory. Then, the delayed system with switching topologies is analyzed to promote the preciseness and reliability of nonlinear MASs. Eventually, several numerical simulations are implemented to expound and prove the reasonableness of the algorithms.