带有Lévy噪声的混合中立型随机时滞微分方程的H∞和时滞反馈渐近稳定性

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

IMA Journal of Mathematical Control and Information Pub Date : 2023-01-01 DOI:10.1093/imamci/dnad002

Mohamed Rhaima;Lassaad Mchiri;A Ben Makhlouf

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引用次数: 2

摘要

本文研究了一类具有Lévy噪声的混合中立型随机时滞微分方程（HNSDDELN）的存在性和镇定问题。这种系统的系数不满足传统的线性增长条件，但具有高度的非线性。我们首先证明了解的存在性和唯一性。然后，我们设计了一个延迟反馈控制器，使不稳定的HNSDDELN$H_｛\infty｝$在$｛\mathbb｛L｝｝^｛p｝$中渐近稳定。最后我们给出了一个数值例子，证实了我们的理论发现。

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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H∞ and Asymptotic Stability via delay feedback for hybrid neutral stochastic delay differential equations with Lévy noise

This work addresses existence and stabilization problem for a hybrid neutral stochastic delay differential equations with Lévy noise (HNSDDELN). The coefficients of such systems do not satisfy the conventional linear growth conditions, but are subject to high nonlinearity. We first prove the existence and uniqueness of the solution. We then design a delay feedback controller to make an unstable HNSDDELN $H_{\infty }$ and asymptotically stable in ${\mathbb{L}}^{p}$ . We end up with a numerical example that corroborates our theoretical findings.

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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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