{"title":"Finite Stabilization and Finite Spectrum Assignment by a Single Controller Based on Incomplete Measurements for Linear Systems of the Neutral Type","authors":"V. E. Khartovskii","doi":"10.1134/s0012266124050094","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> For a linear autonomous differential-difference system of the neutral type, the existence\ncriterion is proved and a method is proposed for designing an observed output feedback controller\nproviding the closed-loop system with finite stabilization (solution of the problem of complete\n<span>\\(0 \\)</span>-controllability) and a finite predetermined\nspectrum. This makes the closed-loop system exponentially stable. The constructiveness of the\npresented results is illustrated by an example.\n</p>","PeriodicalId":50580,"journal":{"name":"Differential Equations","volume":"149 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0012266124050094","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
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.
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.
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