Robust stabilization for singular systems with time-delays and saturating controls

We studied the delay-dependent stabilization problem for a class of uncertain singular system with time-delays and saturating controls. Theorems derived give sufficient conditions for delay-dependent stabilization of the singular systems with a combination of saturating controls and multiple time-delays in both state and control; we assumed the delays to be constant bounded but unknown, moreover, the uncertainties are also described to be unknown but bounded and the nonlinear terms included in the systems are fallen into a set. Under these sufficient conditions, the solution of the uncertain singular system is regular, impulse free, and locally asymptotically stable for all admissible uncertainties. Furthermore, the results based on several linear matrix inequalities (LMIs) are developed to guarantee stability and be computed effectively. Finally, we advance an example to demonstrate the superiority of this method.