Relative controllability for conformable impulsive delay differential equations

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

IMA Journal of Mathematical Control and Information Pub Date : 2024-04-21 DOI:10.1093/imamci/dnae013

Danfeng Luo, Jizhao Huang

引用次数: 0

Abstract

In this paper, we mainly study a class of conformable impulsive delay differential equations (CIDDEs). We first define a conformable impulsive delayed matrix function, and construct an explicit solution for linear CIDDEs by virtue of variation of constants method. Subsequently, based on impulsive delayed Grammian matrix, we study the relative controllability for the addressed linear equations. Moreover, with the help of Krasnoselskii’s fixed point theorem, relative controllability for the considered semilinear equations is proposed. Finally, two examples with numerical simulations are given to illustrate the main results.

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共形脉冲延迟微分方程的相对可控性

本文主要研究一类保形脉冲延迟微分方程（CIDDE）。我们首先定义了保形脉冲延迟矩阵函数，并通过常数变异法构建了线性 CIDDE 的显式解。随后，基于脉冲延迟格拉米安矩阵，我们研究了所处理线性方程的相对可控性。此外，在 Krasnoselskii 定点定理的帮助下，提出了所考虑的半线性方程的相对可控性。最后，我们给出了两个数值模拟示例来说明主要结果。

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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