ROBUST CONTROLS FOR IMPLICIT HEREDITARY SYSTEMS OF THE NEUTRAL TYPE WITH TIME-VARYING DELAYS

摘要

A feedback stabilization problem is investigated for a class of imperfectly known implicit systems with discrete and distributed time-varying 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 of the neutral type. Sufficient conditions, which include a delay-dependent matrix inequality and a delay-dependent stability criterion involving some bounding parameters for the uncertainty in the system, are presented and a class of robust feedback controls are designed to guarantee a prescribed stability property for the class of implicit systems.