Lyapunov Conditions for One-Sided Discrete-Time Random Dynamical Systems

被引：0

作者：

Biris, Larisa Elena ^{[1
]}

Ceausu, Traian ^{[1
]}

Popa, Ioan-Lucian ^{[2
,3
]}

Seimeanu, Nicolae Marian ^{[1
]}

机构：

[1] West Univ Timisoara, Dept Math, Timisoara, Romania

[2] 1 Decembrie 1918 Univ Alba Iulia, Dept Comp Math & Elect, Alba Iulia 510009, Romania

[3] Transilvania Univ Brasov, Fac Math & Comp Sci, Iuliu Maniu St 50, Brasov 500091, Romania

来源：

CARPATHIAN JOURNAL OF MATHEMATICS | 2022年 / 38卷 / 03期

关键词：

nonuniform exponential stability; dynamical systems; Lyapunov functions; EXPONENTIAL STABILITY;

D O I：

10.37193/CJM.2022.03.21

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers nonuniform exponential stability and nonuniform exponential instability concepts for one-sided discrete-time random dynamical systems. These concepts are generalizations from the deterministic case. Using this, characterizations in terms of Lyapunov functions respectively Lyapunov norms are presented. Also, an approach in terms of considered concepts for the inverse and adjoint random discrete-time systems is derived.

引用

页码：777 / 788

页数：12

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