Adaptive Variable Impulsive Synchronization of Multi-agent Systems

This paper is concerned with the adaptive synchronization of multi-agent systems via variable impulsive control method. Based on the theory of impulsive differential equations, adaptive control technique, Lyapunov stability theory and comparison system method, some novel adaptive synchronization conditions with impulsive time window are given to realize the synchronization of multi-agent nonlinear systems with uncertain parameters. Different from the existing investigations of impulsive synchronization of multi-agent systems, the proposed impulsive control protocol with impulsive time window is more effective in practical systems. Finally, two simulation results demonstrate the validity of the theoretical results.