Control design method for time-delay linear differential inclusion systems

This article deals with saturated control design for time-delay linear differential inclusion systems subject to disturbances. Convex hull quadratic Lyapunov functions are used for constructing Lyapunov-Razumikhin functions. A saturated control law is designed to stabilize time-delay linear differential inclusion systems. By the state feedbacks, disturbance rejection with minimal reachable set is achieved. Finally, the effectiveness of the proposed design technique is illustrated by a simulation example.