Finite-Time Lyapunov Functions and Impulsive Control Design

Finite-Time Lyapunov Functions and Impulsive Control Design

Blog Article

In this paper, we introduce finite-time Lyapunov functions for impulsive systems.The On/Off Switch relaxed sufficient conditions for asymptotic stability of an equilibrium of an impulsive system are given via finite-time Lyapunov functions.A converse finite-time Lyapunov theorem for controlling the impulsive system is proposed.Three examples are presented to show how to analyze the stability of an equilibrium of the considered impulsive system via finite-time Lyapunov functions.Furthermore, according to the results, we design an impulsive controller for a chaotic system modified from Camping Beds the Lorenz system.