Adaptive control of inherently time-delay nonlinear systems with nonlinear parameterization

This paper is concerned with global adaptive state-feedback stabilization for a class of inherently time-delay nonlinear systems with nonlinear parameterization. Constraint condition on system growth is relaxed. With the help of two dynamic gains, the uncertainty and nonlinear growth rate of the system are successfully managed. Without precise information about time-delay being needed and only by like Lyapunov function, a new control tactic is presented based on homogeneous domination idea and two necessary transformations. Finally, a numerical example is provided to illustrate the effectiveness of the theoretical result.