Lyapunov exponents for systems with unbounded coefficients

被引：36

作者：

Czornik, Adam ^{[1
]}

Niezabitowski, Michal ^{[1
]}

机构：

[1] Silesian Tech Univ, Fac Automat Control Elect & Comp Sci, PL-44101 Gliwice, Poland

来源：

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2013年 / 28卷 / 02期

关键词：

difference equation; stability; time-varying systems; Lyapunov exponents; linearization; LINEAR-DIFFERENTIAL SYSTEMS;

D O I：

10.1080/14689367.2012.742038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we propose a generalization of the concept of Lyapunov exponents for discrete linear systems which may be used in the case of unbounded coefficients. We show some simplest properties of this generalization and apply it to define a generalization of regular system. Finally, we discuss the problem of stability by linear approximation.

引用

页码：140 / 153

页数：14

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