Semi-Global Stabilization via Homogeneous Output Feedback for a Class of Nonlinear Time-Delay Systems

The semi-global stabilization problem for a class of nonlinear systems with state time-delay is addressed in this paper.By using Lyapunov-Krasovskii functional method and homogeneous domination approach,a homogeneous observer and an output feedback controller with a scaling gain are designed.Then the scaling gain is adjusted such that the closed-loop system is semi-global asymptotically stable.A numerical example is presented to illustrate the effectiveness of the obtained results in this paper.

The semi-global stabilization problem for a class of nonlinear systems with state time-delay is addressed in this paper. By using Lyapunov-Krasovskii functional method and homogeneous dom- ination approach, a homogeneous observer and an output feedback controller with a scaling gain are designed. Then the sealing gain is adjusted such that the closed-loop system is semi-global asymptoti- cally stable. A numerical example is presented to illustrate the effectiveness of the obtained results in this paper.