Stability and <i>L</i> ₂ ‐gain performance for non‐linear switched impulsive systems

Abstract

In this study, the authors investigate the exponential stability and L 2 ‐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.