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中国科学院大学学报 ›› 2006, Vol. 23 ›› Issue (5): 593-596.DOI: 10.7523/j.issn.2095-6134.2006.5.004

• 论文 • 上一篇    下一篇

一类多时滞的向量差分方程的渐近稳定性(英文)

朱 伟; 郑继明   

  1. 重庆邮电学院 应用数学研究所,重庆,400065
  • 收稿日期:1900-01-01 修回日期:1900-01-01 发布日期:2006-09-15

Asymptotic Stability of a Family of Vector Difference Equations with Multi-Delays

ZHU Wei, ZHENG Ji-Ming   

  1. Institute of Applied Mathematics, Chongqing University of
    Posts and Telecommunications, Chongqing, 400065
  • Received:1900-01-01 Revised:1900-01-01 Published:2006-09-15

摘要: 本文讨论了一类具有时滞的差分方程的渐近稳定性。利用矩阵性质和不等式技巧给出了该类方程渐近稳定的充要条件。

关键词: 渐近稳定, 向量差分方程, 多时滞, 充要条件

Abstract: The asymptotic stability of a family of vector difference equations with multi-delays is studied. A sufficient and necessary condition, based on the properties of matrices and inequality techniques, for determining the asymptotic stability is given.

Key words: Asymptotic stability, Vector difference equations, multi-delays, Sufficient and necessary condition.

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