Dissipative Control of Uncertain Stochastic Singular Systems with Time-varying Delays

In this paper, the dissipative control for one kind of uncertain stochastic singular systems with time-varying delays is studied. Firstly, for stochastic singular systems with uncertain parameters, an advisable Lyapunov-Krasovskii functional is constructed. Through the use of the auxiliary vector function, Jensen inequality and free weight matrix technique, the sufficient conditions for the stochastic admissibility of the considered systems are derived. Secondly, a state feedback controller is designed to make the closed-loop system satisfy regular, impulse-free, stochastically stable in the mean square, and then the corresponding dissipative controller is designed. At the last, a simulation example is given to verify the validity of the theoretical results.