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Journal of Inequalities and Applications
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A note on asymptotic stability of delay difference systems

Journal of Inequalities and Applications volume 2005, Article number: 764965 (2005) Cite this article

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.

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  1. Department of Mathematical Sciences, Osaka Prefecture University, Sakai, Osaka, 599-8531, Japan

    Hideaki Matsunaga

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  1. Hideaki Matsunaga
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Correspondence to Hideaki Matsunaga.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Matsunaga, H. A note on asymptotic stability of delay difference systems. J Inequal Appl 2005, 764965 (2005). https://doi.org/10.1155/JIA.2005.119

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