时间分阶双线性系统的空间分阶输出稳定问题

IF 2.5 2区数学 Q1 MATHEMATICS

Fractional Calculus and Applied Analysis Pub Date : 2024-11-15 DOI:10.1007/s13540-024-00354-5

Mustapha Benoudi, Rachid Larhrissi

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引用次数: 0

摘要

本研究旨在探究一类具有时间卡普托（Caputo）分形导数的双线性动力系统的阶数为 $\beta $的Riemann-Liouville空间分形输出的稳定问题。首先，我们提供了定义，并建立了问题的良好拟合。此外，我们还介绍了一种反馈控制策略，它能在一系列充分条件下确保 $\beta $-分数输出的弱稳定和强稳定。此外，我们还进行了数值计算，以阐明所获结果的有效性。

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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Spatial $$\beta $$ -fractional output stabilization of bilinear systems with a time $$\alpha $$ -fractional-order

This research aims to investigate the stabilization problem of the Riemann-Liouville spatial $\beta $-fractional output with order $\beta \in (0,\ 1)$ for a class of bilinear dynamical systems with a time Caputo $\alpha $-fractional derivative. Initially, we provide definitions and establish the well-posedness of the problem addressed. Furthermore, we introduce a feedback control strategy that ensures both weak and strong stabilization of the $\beta $-fractional output, under a broad set of sufficient conditions. Additionally, we present numerical computations to elucidate the effectiveness of the obtained results.

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来源期刊

Fractional Calculus and Applied Analysis MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

4.70

自引率

16.70%

发文量

101

期刊介绍： Fractional Calculus and Applied Analysis (FCAA, abbreviated in the World databases as Fract. Calc. Appl. Anal. or FRACT CALC APPL ANAL) is a specialized international journal for theory and applications of an important branch of Mathematical Analysis (Calculus) where differentiations and integrations can be of arbitrary non-integer order. The high standards of its contents are guaranteed by the prominent members of Editorial Board and the expertise of invited external reviewers, and proven by the recently achieved high values of impact factor (JIF) and impact rang (SJR), launching the journal to top places of the ranking lists of Thomson Reuters and Scopus.