Homogeneity-Based Exponential Stability Analysis for Conformable Fractional-Order Systems

IF 0.5 4区数学 Q3 MATHEMATICS

Ukrainian Mathematical Journal Pub Date : 2024-04-06 DOI:10.1007/s11253-024-02280-4

引用次数: 0

Abstract

We study the exponential stability of homogeneous fractional time-varying systems and the existence of Lyapunov homogeneous function for the conformable fractional homogeneous systems. We also prove that the local and global behaviors are similar. A numerical example is given to illustrate the efficiency of the obtained results.

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基于同质性的可变形分数阶系统指数稳定性分析

我们研究了同质分数时变系统的指数稳定性，以及保角分数同质系统的 Lyapunov 同调函数的存在性。我们还证明了局部和全局行为是相似的。我们给出了一个数值示例来说明所获结果的效率。

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

Ukrainian Mathematical Journal MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

107

审稿时长

4-8 weeks

期刊介绍： Ukrainian Mathematical Journal publishes articles and brief communications on various areas of pure and applied mathematics and contains sections devoted to scientific information, bibliography, and reviews of current problems. It features contributions from researchers from the Ukrainian Mathematics Institute, the major scientific centers of the Ukraine and other countries. Ukrainian Mathematical Journal is a translation of the peer-reviewed journal Ukrains’kyi Matematychnyi Zhurnal, a publication of the Institute of Mathematics of the National Academy of Sciences of Ukraine.