LAUSR

This paper is focused on the robust control of uncertain singular time-delay systems. The systems are firstly decomposed to differential-algebraic equations. The state decomposition is applied to customize a special augmented Lyapunov–Krasovskii functional and a variable memory state feedback (which includes the general state feedback and memory state feedback as special cases). Then, a robust admissibility condition and a robust admissibilization condition are derived, by which less conservatism and better control effect can be obtained with less computation. Finally, the above statements are demonstrated by some numerical examples.