Adaptive impulsive consensus of multi-agent systems with control gain error

This paper studies the consensus problem of multi-agent nonlinear systems with or without uncertain parameters and control gain error. Based on the theory of impulsive differential equations, adaptive control technique and Lyapunov stability theory, some novel adaptive 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 uncertain parameters and control gain error is more rigorous and effective in practical systems. Two numerical simulations are verified to confirm the effectiveness of the proposed methods.