Open Access

A note on asymptotic stability of delay difference systems

Journal of Inequalities and Applications20052005:764965

https://doi.org/10.1155/JIA.2005.119

Received: 9 September 2003

Published: 1 June 2005

Abstract

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

(1)
Department of Mathematical Sciences, Osaka Prefecture University

Copyright

© Matsunaga. 2005