基于中性线性系统不完全测量的单一控制器的有限稳定和有限频谱分配

IF 0.8 4区数学 Q2 MATHEMATICS

Differential Equations Pub Date : 2024-09-11 DOI:10.1134/s0012266124050094

V. E. Khartovskii

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引用次数: 0

摘要

摘要对于中性类型的线性自主微分-差分系统，证明了其存在性标准，并提出了一种设计观测输出反馈控制器的方法，该控制器能使闭环系统具有有限的稳定性（完全（0 \）-可控性问题的解）和有限的预定频谱。这使得闭环系统呈指数稳定。下面通过一个例子来说明所提出结果的构造性。

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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Finite Stabilization and Finite Spectrum Assignment by a Single Controller Based on Incomplete Measurements for Linear Systems of the Neutral Type

Abstract

For a linear autonomous differential-difference system of the neutral type, the existence criterion is proved and a method is proposed for designing an observed output feedback controller providing the closed-loop system with finite stabilization (solution of the problem of complete \(0 \)-controllability) and a finite predetermined spectrum. This makes the closed-loop system exponentially stable. The constructiveness of the presented results is illustrated by an example.

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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.