中性系统的频谱分配

IF 0.8 4区数学 Q2 MATHEMATICS

Differential Equations Pub Date : 2024-04-09 DOI:10.1134/s0012266124010099

A. V. Metel’skii

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引用次数: 0

摘要

摘要对于具有可比延迟的中性型线性自治系统，给出了一种求解模态可控性问题（特别是有限谱分配问题）的算法，该算法提供了一个具有给定特征四次多项式的闭环系统。提出了一种编辑频谱有限部分的程序。对所研究系统的指数稳定标准进行了建设性论证。当满足该标准时，闭环系统可根据所提出的谱缩减算法实现指数稳定。本文以实例说明了所获得的声明和频谱分配算法。

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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Spectrum Assignment for a System of Neutral Type

Abstract

For a linear autonomous system of neutral type with commensurable delays, an algorithm is given for solving the modal controllability problem (in particular, the finite spectrum assignment problem), which provides a closed-loop system with a given characteristic quasipolynomial. A procedure for editing the finite part of the spectrum is proposed. A criterion for exponential stabilization of the system under study is constructively justified. When the criterion is met, the closed-loop system can be made exponentially stable according to the proposed spectral reduction algorithm. The obtained statements and spectrum assignment algorithms are illustrated with examples.

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来源期刊

Differential Equations 数学-数学

CiteScore

1.30

自引率

33.30%

发文量

审稿时长

3-8 weeks

期刊介绍： Differential Equations is a journal devoted to differential equations and the associated integral equations. The journal publishes original articles by authors from all countries and accepts manuscripts in English and Russian. The topics of the journal cover ordinary differential equations, partial differential equations, spectral theory of differential operators, integral and integral–differential equations, difference equations and their applications in control theory, mathematical modeling, shell theory, informatics, and oscillation theory. The journal is published in collaboration with the Department of Mathematics and the Division of Nanotechnologies and Information Technologies of the Russian Academy of Sciences and the Institute of Mathematics of the National Academy of Sciences of Belarus.