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

IF 1.4 4区数学 Q1 MATHEMATICS

Carpathian Journal of Mathematics Pub Date : 2022-07-26 DOI:10.37193/cjm.2022.03.21

L. Biris, T. Ceausu, I. Popa, "NICOLAE MARIAN" Seimeanu

引用次数: 0

Abstract

"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."

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“单侧离散时间随机动力系统的李雅普诺夫条件”

本文研究了单边离散随机动力系统的非均匀指数稳定性和非均匀指数不稳定性概念。这些概念是确定性情况下的推广。利用这些概念，分别给出了李亚普诺夫函数和李亚普诺模的特征。此外，还提出了一种利用逆和邻接概念的方法导出了int随机离散时间系统。“

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.