Impulsive consensus of multi-agent nonlinear systems with control gain error

In this paper, the consensus problem of multi-agent nonlinear systems with control gain error is studied. Based on the theory of impulsive differential equations, Lyapunov stability theory and algebraic graph theory, some impulsive consensus conditions are given to realize the consensus of a class of multi-agent nonlinear systems. Compared with the existing investigations of impulsive consensus of multi-agent systems, the proposed impulsive control protocol with control gain error is more rigorous and effective in practical systems. Two numerical simulations are verified to confirm the effectiveness of the proposed methods.