Exponential stability of perturbed linear discrete systems

被引：3

作者：

Diblik, Josef ^{[1
]}

Khusainov, Denys Y. ^{[2
]}

Bastinec, Jaromir ^{[1
]}

Sirenko, Andrii S. ^{[2
]}

机构：

[1] Brno Univ Technol, CS-61090 Brno, Czech Republic

[2] Natl Taras Shevchenko Univ Kiev, Kiev, Ukraine

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2016年

关键词：

CONSTANT-COEFFICIENTS; ASYMPTOTIC STABILITY;

D O I：

10.1186/s13662-015-0738-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper considers the problem of exponential stability and convergence rate to solutions of perturbed linear discrete homogeneous systems. New criteria on exponential stability are derived by using the second method of Lyapunov. We consider non-delayed systems as well as systems with a single delay. Simultaneously, explicit exponential estimates of the solutions are derived. The results are illustrated by examples.

引用

页码：1 / 20

页数：20

共 22 条

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