Advances in Difference Equations
Volume 2008 (2008), Article ID 396504, 14 pages
doi:10.1155/2008/396504

Absolute stability of discrete-time systems with delay

Abstract

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.