Exponential stability of time-varying linear discrete systems

被引：11

作者：

Hu, Guang-Da ^{[1
]}

Mitsui, Taketomo ^{[2
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Nagoya Univ, Nagoya, Aichi, Japan

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2017年 / 528卷

基金：

日本学术振兴会; 中国国家自然科学基金;

关键词：

Varying-time discrete systems; Exponential stability; Spectral norm of matrix;

D O I：

10.1016/j.laa.2016.11.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the stability of non-autonomous linear discrete-time systems. Two necessary and sufficient conditions are derived for exponential stability of time-varying linear discrete-time systems. They show that through a nonsingular state transformation an exponentially stable system can be reduced to a simple one with the coefficient matrix whose spectral norm being less than unity. Furthermore, an estimation of solution of time-varying linear discrete-time system is provided which extends the results in the literature. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：384 / 393

页数：10

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