Delay-Dependent Stability Analysis and Control for a Kind of Stochastic Singular Systems with Time-Varying Delays

This paper is concerned with the problems of delay-dependent mean-square admissibility and control for a class of stochastic singular systems with time-varying delays. Based on an auxiliary vector function and an integral inequality, by utilizing the free-weighting-matrix approach along with developed linear matrix inequality (LMI) techniques and combining them with the structural characteristics of the considered closed-loop system, a set of delay-dependent sufficient conditions is established, which ensures that the system is regular, impulse-free and mean-square stable. Furthermore, the sufficient conditions for the solvability of the mean-square admissibility problem are obtained in terms of a new type of candidate Lyapunov-Krasovskii function and a set of linear matrix inequalities. Finally, a simulation example is presented to show the validity of our proposed theoretical results.