Hadamard分数阶系统的有限时间稳定性

IF 6.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Ain Shams Engineering Journal Pub Date : 2025-02-01 Epub Date: 2025-01-20 DOI:10.1016/j.asej.2025.103263

Omar Naifar , Abdellatif Ben Makhlouf , Lassaad Mchiri , Mohamed Rhaima

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引用次数: 0

摘要

本文研究了Hadamard分数阶系统有限时间稳定性的性质。研究利用Hadamard分数阶导数来制定和分析这些系统，建立基于李亚普诺夫理论的FTS标准。此外，本文还对这类Hadamard分数阶系统的有限时间镇定和观测器设计的方法进行了全面的探讨。通过举例和案例研究，理论进步得到了加强，这有助于证明所提出方法的有效性和适用性。

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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Finite time stability for Hadamard fractional-order systems

This paper examines the properties of finite-time stability (FTS) in the sense of Hadamard fractional-order systems. The investigation utilizes the Hadamard fractional derivative to formulate and analyze these systems, establishing FTS criteria based on the Lyapunov theory. Additionally, this paper presents a comprehensive exploration of methodologies for finite-time stabilization and observer design in these classes of Hadamard fractional order systems. The theoretical advancements are reinforced by illustrative examples and case studies, which serve to demonstrate the effectiveness and applicability of the methodologies put forth.

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来源期刊

Ain Shams Engineering Journal Engineering-General Engineering

CiteScore

10.80

自引率

13.30%

发文量

441

审稿时长

49 weeks

期刊介绍： in Shams Engineering Journal is an international journal devoted to publication of peer reviewed original high-quality research papers and review papers in both traditional topics and those of emerging science and technology. Areas of both theoretical and fundamental interest as well as those concerning industrial applications, emerging instrumental techniques and those which have some practical application to an aspect of human endeavor, such as the preservation of the environment, health, waste disposal are welcome. The overall focus is on original and rigorous scientific research results which have generic significance. Ain Shams Engineering Journal focuses upon aspects of mechanical engineering, electrical engineering, civil engineering, chemical engineering, petroleum engineering, environmental engineering, architectural and urban planning engineering. Papers in which knowledge from other disciplines is integrated with engineering are especially welcome like nanotechnology, material sciences, and computational methods as well as applied basic sciences: engineering mathematics, physics and chemistry.