Exponential stability and static output feedback stabilization of singular time-delay systems with saturating actuators

This paper deals with the class of continuous-time singular linear systems with time-varying delays. The stability and stabilization problems of this class of systems are addressed. Delay-range-dependent sufficient conditions such that the system is regular, impulse free and alpha-stable are developed in the linear matrix inequality (LMI) setting and an estimate of the convergence rate of such stable systems is also presented. An iterative LMI (ILMI) algorithm to compute a static output feedback controller gains is proposed. A numerical example is employed to show the usefulness of the proposed results.