On robust stabilization for neutral delay-differential systems with parametric uncertainties and its application

This paper considers the problem of robust stabilization for uncertain neutral delay-differential systems. Based on the Lyapunov method, a delay-dependent criterion for determining the stability of systems is obtained in terms of matrix inequalities, which can be easily solved by efficient convex optimization algorithms. Then, the method presented is extended to systems with controller gain variations, that is, the design problem for the nonfragile controller is considered. A numerical example is included to illustrate the design procedure of the proposed method.