On homogeneous parameter dependent quadratic Lyapunov function for robust H∞ noise-attenuation in switched linear discrete-time system with polytopic uncertainties

This article is concerned with the problem of robust H∞ noise-attenuation for switched linear discrete-time systems with polytopic uncertainties based on homogeneous parameter dependent quadratic Lyapunov function. We give the condition of robustly asymptotically stable for uncertain switched system by homogeneous parameter dependent quadratic Lyapunov function. This method is more feasible and effective against the variations of uncertain parameter under the given arbitrary switching signal. Lastly, simulation results are used to illustrate the effectiveness of our method.