ROBUST MIXED H2/H∞ DELAYED STATE FEEDBACK CONTROL OF UNCERTAIN NEUTRAL SYSTEMS WITH TIME-VARYING DELAYS

This paper considers the problem of robust mixed H-2/H-infinity delayed state feedback control for a Class of uncertain neutral systems with time-varying discrete and distributed delays. Based oil the Lyapunov-Krasovskii functional theory new required sufficient conditions are established in terms of delay-range-dependent linear matrix inequalities for the stability and stabilization of the considered system using some free matrices. The desired robust mixed H-2/H-infinity delayed state feedback control is derived based oil a convex optimization Method Such that the resulting closed-loop system is asymptotically stable and satisfies H-2 performance with a guaranteed cost and it prescribed level of H-infinity performance, Simultaneously. Finally a numerical example is given to illustrate the effectiveness of our approach.