Global Stabilization for a Class of Genuinely Nonlinear Systems With a Time-Varying Power: An Interval Homogeneous Domination Approach

Abstract

This paper addresses the problem of global state feedback stabilization for a class of genuinely nonlinear systems with a time-varying power. By revamping the so-called adding a power integrator technique and the homogeneous domination approach, a new design method called interval homogeneous domination approach is proposed to delicately design a state feedback control law that renders the nonlinear systems globally asymptotically stable. The novelty of the proposed scheme owes to the systematic fashion that provides a distinct perspective to solve the stabilization problem for the nonlinear systems with a time-varying power.

Keywords

• High-order nonlinear systems
• adding a power integrator
• homogeneous domination
• global stabilization