ψ-卡普托分数延迟控制系统的相对可控性

Q3 Mathematics

Results in Control and Optimization Pub Date : 2024-09-01 DOI:10.1016/j.rico.2024.100475

K. Muthuvel , K. Kaliraj , Kottakkaran Sooppy Nisar , V. Vijayakumar

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引用次数: 0

摘要

本文围绕有限维空间中ψ-分数延迟微分方程的相对可控性展开讨论。具有两个参数的 Mittag Leffler 型 ψ 延迟扰动矩阵函数展示了分数延迟系统的格拉米矩阵。基于该格拉姆矩阵，我们得出了线性系统相对可控的必要条件和充分条件。定点法用于获得半线性系统的可控性结果。这一概念可应用于一些实例，以说明我们结果的有效性。

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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Relative controllability for ψ−Caputo fractional delay control system

This paper resolves around relative controllability of $ψ -$ fractional delayed differential equations in finite dimensional space. The Mittag Leffler type of $ψ -$ delayed perturbation matrix function with two parameters exhibits the Grammian matrix of fractional delay system. Based on this Grammian matrix we derived the necessary and sufficient conditions for the linear system which is relatively controllable. The fixed point approach is applied for obtaining a controllability result for semilinear system. This concept can be applied to some examples in order to illustrate the efficacy of our results.

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来源期刊

Results in Control and Optimization Mathematics-Control and Optimization

CiteScore

3.00

自引率

0.00%

发文量

审稿时长

91 days