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 relaxed sufficient conditions for asymptotic stability of an equilibrium of an Rinse Nozzle 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 Mist 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 the Lorenz system.