Stabilization of quasi-one-sided Lipschitz nonlinear systems

Abstract

This paper is concerned with the problems of state feedback and output feedback control for a class of nonlinear systems. The nonlinearity of this class of nonlinear systems is assumed to satisfy a global quasi-one-sided Lipschitz condition. Sufficient conditions for the existence of state feedback controller and output feedback controller are presented. Methods of calculating the controller gain matrices are derived in terms of linear matrix inequalities. The effectiveness of our results is tested in a series of numerical experiments.