控制反射跳跃系统的LP技术及其与流行病的相关性

IF 2.5 3区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Systems & Control Letters Pub Date : 2025-07-11 DOI:10.1016/j.sysconle.2025.106195

Jiacheng Chen , Dan Goreac , Juan Li , Oana-Silvia Serea

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引用次数: 0

摘要

本文主要研究具有跳变的反射随机微分方程的控制问题。关于COVID-19数据的说明（法国INSEE）表明，反射跳跃模型捕捉到了有趣的特征：由于免疫力下降和保持社交距离比只接种疫苗的政策更有效而导致的连续感染波。在考虑反映动态时要付出的代价是增加了处理控制问题的难度。为了解决这个问题，本文的核心是研究线性规划（LP）技术在控制这类跳跃型反射SDEs中的应用。

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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LP techniques in the control of reflected jump systems and their relevance for epidemics

Our brief paper primarily focuses on the control of reflected stochastic differential equations (SDE) with jumps. The illustrations on data on COVID-19 (INSEE, France) suggest that reflected jump models capture interesting features: successive infection waves due to waning immunity and increased efficacy of social-distancing over vaccination-only policies. The price to pay when considering reflected dynamics is an increase of difficulty to treat the control issues. To address this, the core of the paper focuses on linear programming (LP) techniques in the control of such reflected SDEs of jump type.

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来源期刊

Systems & Control Letters 工程技术-运筹学与管理科学

CiteScore

4.60

自引率

3.80%

发文量

144

审稿时长

6 months

期刊介绍： Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.