Stability and L2-gain performance for non-linear switched impulsive systems

Abstract

In this study, the authors investigate the exponential stability and L2-gain for a class of non-linear switched impulsive systems with time-varying disturbances. Using the concept of average impulsive interval incorporated with a piecewise Lyapunov function, some new stability criteria and disturbance attenuation properties are presented. The derived criteria are theoretically proved to be less conservative than some existing results. A numerical example as well as its simulation is given to illustrate the effectiveness of the obtained results.