一组可持续阈值的敏感性分析

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-05-29 DOI:10.1007/s11228-024-00721-7

Pedro Gajardo, Thomas Guilmeau, Cristopher Hermosilla

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引用次数: 0

摘要

在受限控制系统中，"可持续阈值集 "在某种意义上扮演着所谓 "可行性内核"（Viability Kernel）的双重角色，因为它描述了在规定的初始条件下，系统状态在时间间隔内必须满足的所有阈值。本研究旨在分析 "可持续阈值集 "的敏感性，当它被视为一个取决于初始位置的集合值映射时。为此，我们研究了该映射的半连续性和 Lipschitz 连续性属性，还研究了可持续阈值集为凸值时的几种情况。

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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Sensitivity Analysis of the Set of Sustainable Thresholds

In the context of constrained control-systems, the Set of Sustainable Thresholds plays in a sense the role of a dual object to the so-called Viability Kernel, because it describes all the thresholds that must be satisfied by the state of the system along a time interval, for a prescribed initial condition. This work aims at analyzing the sensitivity of the Set of Sustainable Thresholds, when it is seen as a set-valued map that depends on the initial position. In this regard, we investigate semicontinuity and Lipschitz continuity properties of this mapping, and we also study several contexts when the Set of Sustainable Thresholds is convex-valued.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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