STABILITY AND STABILIZATION OF NONLINEAR DYNAMICAL SYSTEMS

Abstract

Exponential and asymptotic stability for a class of nonlinear dynamical systems with uncertainties is investigated. Based on the stability of the nominal system, a class of bounded continuous feedback controllers is constructed. By such a class of controllers, the results guarantee exponential and asymptotic stability of uncertain nonlinear dynamical system. A numerical example is also given to demonstrate the use of the main result.

Keywords

• Control constraint, feedback control
• stability
• stabilization
• uncertainty
• uncertain systems