Abstract:

This paper deals with the problem of robust stability and robust stabilization for uncertain singular systems with time-varying delay in a range. The parametric uncertainty is assumed to be norm bounded. The information of the lower bound of delay is applied to construct Lyapunov functional. A new criterion for the uncertain singular system to be regular, impulse free and stable is proposed in terms of a strict linear matrix inequality for all admissible uncertainties. Based on this criterion, robust stabilization is solved via designing a state feedback control law. Numerical examples are proposed to illustrate that the obtained results have less conservatism.