Robust stabilizers for uncertain singularly perturbed time-delay systems of the neutral type

A feedback stabilization problem is investigated for a class of imperfectly known singularly perturbed time-delay systems of the neutral type, with discrete delays. The imperfections acting on the systems, which may be time-, state-, delayed state-, and/ or input-dependent, are modelled as additive nonlinear perturbations influencing a known set of nonlinear functional differential equations. Sufficient conditions, which include delay-dependent matrix inequalities, are presented and a class of robust feedback controls are designed to guarantee a prescribed stability property for the class of singularly perturbed systems.