Floquet theorem for linear implicit nonautonomous difference systems

被引：8

作者：

Anh, Pham Ky ^{[1
]}

Yen, Ha Thi Ngoc ^{[1
]}

机构：

[1] Vietnam Natl Univ, Dept Math, Hanoi, Vietnam

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 321卷 / 02期

关键词：

implicit difference equations; differential algebraic equations; floquet theorem; Lyapunov reduction theorern;

D O I：

10.1016/j.jmaa.2005.08.075

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to develop the Floquet theory for linear implicit difference systems (LIDS). It is proved that any index-1 LIDS can be transformed into its Kronecker normal form. Then the Floquet theorem on the representation of the fundamental matrix of index-1 periodic LIDS has been established. As an immediate consequence, the Lyapunov reduction theorem is proved. Some applications of the obtained results are discussed. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：921 / 929

页数：9

共 6 条

[1]

AGARWALL RP, 2000, DIFFERENCE EQUATIONS

[2]

ANH PK, 2004, ADV DIFFER EQU-NY, V3, P195

[3]

[Anonymous], 1986, DIFFERENTIAL ALGEBRA

[4] How Floquet theory applies to index 1 differential algebraic equations [J].