Memory state feedback guaranteed cost control for neutral delay systems

This paper studies the problem, of guaranteed cost control for a class of uncertain neutral delay systems. Unlike the commonly used quadratic cost function, involving the state, a cost function, involving the delayed state is considered. This naturally leads to a memory state feedback such that the resulting closed-loop system, is not only asymptotically stable but also guarantees an adequate level of performance even with an, admissible class of uncertainties. A sufficient condition for the existence of a guaranteed cost controller is given in, terms of the feasibility condition, of a linear matrix inequality. Finally, a numerical example is used to demonstrate the effectiveness of the approach proposed in this paper.