New asymptotic stability results for nonautonomous nonlinear fractional order systems

IF 1.6 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

IMA Journal of Mathematical Control and Information Pub Date : 2022-09-10 DOI:10.1093/imamci/dnac019

B. K. Lenka, S. Bora

引用次数: 2

Abstract

This paper considers nonautonomous nonlinear fractional order systems where state variables are associated with different fractional orders and lie in the interval $(0, 1]$. Some new comparison theories are proposed for the asymptotic stability analysis of such systems. Illustrative examples are presented, and it is established that some proposed results are effective for the asymptotic analysis of such systems.

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非自治非线性分数阶系统渐近稳定性的新结果

研究一类非自治非线性分数阶系统，其中状态变量与不同分数阶相关，且处于区间$(0,1]$。对于这类系统的渐近稳定性分析，提出了一些新的比较理论。给出了实例，证明了所提的一些结果对于这类系统的渐近分析是有效的。

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

IMA Journal of Mathematical Control and Information 工程技术-应用数学

CiteScore

3.30

自引率

6.70%

发文量

审稿时长

>12 weeks

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