Open Access

A note on asymptotic stability of delay difference systems

Journal of Inequalities and Applications20052005:764965

DOI: 10.1155/JIA.2005.119

Received: 9 September 2003

Published: 1 June 2005


For the linear delay difference system , where is a real constant matrix and is a nonnegative integer, we present an explicit necessary and sufficient condition for the asymptotic stability of the zero solution of this system in terms of , , and the delay .

Authors’ Affiliations

Department of Mathematical Sciences, Osaka Prefecture University


© Matsunaga. 2005