Exact stability sets for a linear difference system with diagonal delay

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:369

Article

Matsunaga, Hideaki¹  Hajiri, Chikako¹ 

[1] Osaka Prefecture Univ, Dept Math Sci, Sakai, Osaka 5998531, Japan

关键词: Delay difference systems;    Discrete systems;    Stability;    Diagonal delay;   

DOI  :  10.1016/j.jmaa.2010.03.062

来源: Elsevier

【 摘 要 】

This paper is devoted to the stability analysis of a delay difference system of the form x(n+1) = ax(n-k) + by(n), y(n+1) = cx(n) + ay(n-k), where a, b and c are real numbers and k is a positive integer. We establish some exact conditions for the zero solution of the system to be asymptotically stable. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free