关于具有两个时滞的标量线性时滞系统的极点配置

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/dnad001

Sébastien Fueyo;Guilherme Mazanti;Islam Boussaada;Yacine Chitour;Silviu-Iulian Niculescu

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引用次数: 1

摘要

本文讨论了由具有两个正时滞的线性时滞微分方程定义的标量动力系统的一些谱性质。更准确地说，探索了延迟和特征根的最大多重性之间的现有联系，以及与频谱定位相比，这些根的优势。作为分析的副产品，重新讨论了极点配置问题，更加强调了延迟作为控制参数在定义部分极点配置中的作用，该部分极点配置保证了相应动力系统具有适当衰减率的闭环稳定性。

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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On the pole placement of scalar linear delay systems with two delays

This paper concerns some spectral properties of the scalar dynamical system defined by a linear delay-differential equation with two positive delays. More precisely, the existing links between the delays and the maximal multiplicity of the characteristic roots are explored, as well as the dominance of such roots compared with the spectrum localization. As a by-product of the analysis, the pole placement issue is revisited with more emphasis on the role of the delays as control parameters in defining a partial pole placement guaranteeing the closed-loop stability with an appropriate decay rate of the corresponding dynamical system.

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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

期刊介绍： The Journal is to provide an outlet for papers which are original and of high quality in mathematical control theory, systems theory, and applied information sciences. Short papers and mathematical correspondence or technical notes will be welcome, although the primary function of the journal is to publish papers of substantial length and coverage. The emphasis will be upon relevance, originality and clarify of presentation, although timeliness may well be an important feature in acceptable papers. Speculative papers that suggest new avenues for research or potential solutions to unsolved problems of control and information theory will be particularly welcome. Specific application papers will not normally be within the remit of the journal. Applications that illustrate techniques or theories will be acceptable. A prime function of the journal is to encourage the interplay between control and information theory and other mathematical sciences. All submitted papers will be judged on their merits by at least two referees and a full paper report will be available to the intending authors. Submitted articles will in general be published in an issue within six months of submission. Papers should not have previously published, nor should they be undes consideration for publication in another journal. This Journal takes publication ethics very seriously. If misconduct is found or suspected after the manuscript is published, the journal will investigate the matter and this may result in the article subsequently being retracted.