Advances in Difference Equations
Volume 2008 (2008), Article ID 396504, 14 pages
Research Article

Absolute Stability of Discrete-Time Systems with Delay

Rigoberto Medina

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

Received 18 October 2007; Accepted 22 November 2007

Academic Editor: Bing Gen Zhang

Copyright © 2008 Rigoberto Medina. 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.


We investigate the stability of nonlinear nonautonomous discrete-time systems with delaying arguments, whose linear part has slowly varying coefficients, and the nonlinear part has linear majorants. Based on the “freezing” technique to discrete-time systems, we derive explicit conditions for the absolute stability of the zero solution of such systems.