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

Stabilization of discrete-time control systems with multiple state delays

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.