Guaranteed cost control of uncertain nonlinear neutral systems via memory state feedback

This article studies a guaranteed cot control problem for a class of uncertain nonlinear neutral systems. Attention is focused on the design of memory state feedback controllers such that the resulting closed-loop system is asymptotically stable and an adequate level of performance is also guaranteed. Using the Lyapunov method and LMI (linear matrix inequality) technique, two criteria for the existence of the controller are derived in terms of LMIs. A numerical example is given to illustrate the proposed method.