An iterative approach to eigenvalue assignment for nonlinear systems

Abstract

In this paper, the authors present a method for controlling a nonlinear system by using the ideas of eigenvalues assignment. A time-varying approach to nonlinear exponential stability via eigenvalue placement is studied based on an iteration technique that approaches a nonlinear system by a sequence of linear time-varying equations. The convergent behaviour of this method is shown and applied to a practical nonlinear example in order to illustrate these ideas.