Solvability and stability of switched discrete-time linear singular systems under Lipschitz perturbations

被引：2

作者：

Duc Thuan, Do ^{[1
]}

Thi Thu, Ninh ^{[2
]}

机构：

[1] Hanoi Univ Sci & Technol, Fac Math & Informat, Hanoi, Vietnam

[2] Vietnam Natl Univ, VNU Univ Sci, Fac Math Mech & Informat, Hanoi, Vietnam

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2024年 / 30卷 / 07期

关键词：

SDLS systems; index; solvability; stability; Lipschitz perturbation;

D O I：

10.1080/10236198.2024.2336478

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the problem of solvability and stability for switched discrete-time linear singular (SDLS) systems under Lipschitz perturbations is studied. By definition of SDLS systems of index-1, we first prove the unique existence of solution of SDLS systems under Lipschitz perturbations with different switching rules on two sides. A variation of constants formula of solution is given and the solution manifold is also described. Secondly, we derive some conditions for stability, asymptotical stability and exponential stability of these systems. Finally, some examples are given to illustrate the obtained results.

引用

页码：849 / 869

页数：21

共 27 条

[1]

Anh P.K., 2006, INT J DIFFERENCE EQU, V1, P181

[2] Floquet theorem for linear implicit nonautonomous difference systems [J].