Remarks on Generalized Stability for Difference Equations in Banach Spaces

Q2 Mathematics

Electronic Notes in Discrete Mathematics Pub Date : 2018-12-01 DOI:10.1016/j.endm.2018.11.013

Ioan-Lucian Popa, Larisa Elena Biriş, Traian Ceauşu, Tongxing Li

引用次数: 0

Abstract

This note focuses on the problem of generalized exponential stability for linear time-varying discrete-time systems in Banach spaces. Characterizations for this concept are presented and connections with the classical concept of exponential stability existent in the literature is pointed out. An illustrative example clarifies the implications between these concepts.

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Banach空间中差分方程的广义稳定性

本文研究了Banach空间中线性时变离散系统的广义指数稳定性问题。给出了这一概念的表征，并指出了它与经典文献中存在的指数稳定性概念的联系。一个说明性的例子阐明了这些概念之间的含义。

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

Electronic Notes in Discrete Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Electronic Notes in Discrete Mathematics is a venue for the rapid electronic publication of the proceedings of conferences, of lecture notes, monographs and other similar material for which quick publication is appropriate. Organizers of conferences whose proceedings appear in Electronic Notes in Discrete Mathematics, and authors of other material appearing as a volume in the series are allowed to make hard copies of the relevant volume for limited distribution. For example, conference proceedings may be distributed to participants at the meeting, and lecture notes can be distributed to those taking a course based on the material in the volume.