Robust stabilization of uncertain descriptor system with interval time-varying state and input delays

This paper studies the robust stabilization problem of continuous-time uncertain descriptor system with interval time-varying both state and input delays. To simplify operation on uncertainties, the system is converted to an auxiliary system with a disturbance input; by using the Lyapunov-Krasovskii functional approach combined with an integral inequality method, sufficient conditions are derived for the stabilization in terms of linear matrix inequalities (LMIs). A number example is given to show the effectiveness of the present results.