Advances in Difference Equations
Volume 2009 (2009), Article ID 240707, 13 pages
doi:10.1155/2009/240707
Research Article

Stabilization of Discrete-Time Control Systems with Multiple State Delays

Medina Rigoberto

Departamento de Ciencias Exactas, Universidad de Los Lagos, Casilla 933, Osorno, Chile

Received 16 March 2009; Accepted 21 June 2009

Academic Editor: Leonid Shaikhet

Copyright © 2009 Medina Rigoberto. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We give sufficient conditions for the exponential stabilizability of a class of perturbed time-varying difference equations with multiple delays and slowly varying coefficients. Under appropiate growth conditions on the perturbations, combined with the “freezing” technique, we establish explicit conditions for global feedback exponential stabilizability.