带延迟的非一致性分数阶中性微分系统的修正米哈伊洛夫稳定性准则

IF 3.7 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-11-09 DOI:10.1016/j.jfranklin.2024.107384

Ha Duc Thai, Hoang The Tuan

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引用次数: 0

摘要

本文研究了具有恒定延迟的非一致性分数阶中性微分系统的渐近稳定性。为此，我们提出了改进的 Mikhailov 稳定性准则。我们的工作不仅推广了文献中的现有结果，还为有延迟的分数阶系统的频域分析方法提供了严格的数学基础。我们还提供了具体实例和数值说明，以证明所获结果的正确性。

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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Modified Mikhailov stability criterion for non-commensurate fractional-order neutral differential systems with delays

This paper studies the asymptotic stability of non-commensurate fractional-order neutral differential systems with constant delays. To do this, we propose a modified Mikhailov stability criterion. Our work not only generalizes the existing results in the literature but also provides a rigorous mathematical basis for the frequency domain analysis method concerning fractional-order systems with delays. Specific examples and numerical illustrations are also provided to demonstrate the validity of the obtained result.

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来源期刊

Journal of The Franklin Institute-engineering and Applied Mathematics 工程技术-工程：电子与电气

CiteScore

7.30

自引率

14.60%

发文量

586

审稿时长

6.9 months

期刊介绍： The Journal of The Franklin Institute has an established reputation for publishing high-quality papers in the field of engineering and applied mathematics. Its current focus is on control systems, complex networks and dynamic systems, signal processing and communications and their applications. All submitted papers are peer-reviewed. The Journal will publish original research papers and research review papers of substance. Papers and special focus issues are judged upon possible lasting value, which has been and continues to be the strength of the Journal of The Franklin Institute.