Robust stability and stabilization for the uncertain switched descriptor time-delay systems

In this paper, the robust stability and stabilization for the switched descriptor time-delay systems under arbitrary switching is investigated. Based on the linear matrix inequality (LMI) method, some results are given: (i) the switched descriptor time-delay system is regular, impulse-free and stable under arbitrary switching; (ii) the controller is given to guarantee that the uncertain switched descriptor time-delay systems is stabilization.