State-feedback stabilization control design for a class of time-delay high-order nonlinear systems

The stabilization problem is investigated for a class of time-delay high-order nonlinear systems. by the flexible way of adding a power integrator, the recursive design procedure of a continuous state-feedback controller is derived, and globally asymptotic stability of the resulting closed-loop system is proven with the aid of the delicate construction of an appropriate Lyapunov-Krasovskii functional. Finally, a simulation example is given to illustrate the correctness of the theoretical result.