Finite-time impulsive consensus of nonlinear multi-agent system with disturbance

Abstract

This paper investigates FTC (finite-time consensus) problem of nonlinear MAC (multi-agent system) with disturbance via impulsive control protocol, where the states of agents can be updated by the state of itself and the state of its neighbor at certain discrete time constants. Some sufficient conditions are established via the impulsive control theory and the algebraic graph theory. What's more, the setting time for consensus is formulated by eigenvalues of Laplacian matrix, control gain and impulse interval. Numerical simulations demonstrate the availability of the theoretical results.