A Razumikhin approach to exponential admissibility of switched descriptor delayed systems

This paper addresses on the robust exponential admissibility of uncertain switched descriptor systems with time-varying delays. Firstly, an easily verified condition is presented to check the switching-impulsive-free which ensures the consistent of algebraic equations. Moreover, a novel type of piecewise Lyapunov functions which are decreasing at switching times is introduced. This type of delicately constructed Lyapunov functions can efficiently eliminate the switching jump of adjacent Lyapunov functions at switching instants. By this type of Lyapunov functions and Razumikhin-type technique, the delay-independent minimum dwell time criteria of robust exponential admissibility are established under switching-impulsive-free. Two illustrative numerical examples are presented to show the effectiveness of the obtained theoretical results.