Delay-independent criteria for exponential admissibility of switched descriptor delayed systems

This paper deals with the uniform exponential admissibility problem for switched descriptor systems with time-varying delays. A criterion for regularity-impulsiveness-free of each subsystem is presented. A solution to switching-impulsiveness-free for switched descriptor systems is provided. A novel type of piecewise Lyapunov functionals is introduced. This type of Lyapunov functionals can efficiently overcome the switching jump of adjacent Lyapunov functionals at switching times. By applying this type of Lyapunov functionals and algebraic manipulations, the delay-independent conditions for uniform exponential admissibility is established on the minimum dwell time.