Global State Control for a Class of Inherently Higher-order Parameterized Nonlinear Time-delay Systems Based on Homogeneous Domination Approach∗

This paper addresses the problem of global state feedback stabilization for a class of inherently higher-order parameterized nonlinear systems subject to time-delay. By using the homogeneous domination approach, we construct a homogeneous state feedback controller with an adaptive strategy. A constructive design method is developed based an effective coupling of the inductive method and a sign function, leading to adaptive regulators with minimal parameterization. With the aid of a homogeneous Lyapunov-Krasovskii functional, the closedloop systems can be asymptotically stabilized globally.