Exponential stabilization of nonlinear discrete-time systems

Abstract

In this paper, we give sufficient conditions for the exponential stabilizability of a class of perturbed non-autonomous difference equations with slowly varying coefficients. Under appropriate growth conditions on the perturbations, we establish explicit results concerning the feedback exponential stabilizability.

Keywords:

• stabilization
• discrete-time control systems
• freezing technique
• exponential stabilizability

AMS (MOS) Subject Classifications::

• 39A10

Acknowledgement

This research was supported by Fondecyt Chile under Grant No. 1.070.980.