Feedback stabilizers for a class of imperfectly known hereditary descriptor systems

A class of memoryless feedback controls is designed to asymptotically stabilize a class of imperfectly known, nonlinear, descriptor systems with time-delays. Each descriptor system, consisting of dynamic and static subsystems, contains discrete and distributed delays, and each dynamic subsystem is a time-delay system of the retarded type. A deterministic methodology based on Lyapunov theory and Lyapunov-Krasovskii functionals is utilized and feedback controllers are synthesized that will ensure, under appropriate hypotheses and satisfaction of appropriate stability criteria, a uniform asymptotic stability property for the prescribed class of hereditary descriptor systems.