Exponential stability and stabilization of Markovian jumping singular systems with time-varying delays

This paper deals with the problems of exponential stability and stabilization for singular systems with Markovian jump parameters and time-varying delays. A delay-dependent condition, which guarantees the singular system to be regular, impulse-free and exponential stable, is established. Furthermore the desired static output feedback controller is also presented in terms of a set of strict Linear Matrix Inequalities (LMIs). Numerical examples are given to show the effectiveness of the proposed methods.