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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2022, Volume 28, Number 3, Pages 30–37
DOI: https://doi.org/10.21538/0134-4889-2022-28-3-30-37 (Mi timm1925) 		 
On the reduction of systems with incommensurate delays to a form with zero dynamics

E. I. Atamas', A. V. Il'in

Lomonosov Moscow State University
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DOI: https://doi.org/10.21538/0134-4889-2022-28-3-30-37
Abstract: A form with zero dynamics for time-delay systems is considered. The results obtained earlier for the case of commensurate delays are transferred to systems with incommensurate delays. Conditions are obtained under which the reduction to such a form is possible, and an algorithm for constructing the corresponding transformation is described.
Keywords: time-delay systems, incommensurate delays, zero dynamics.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation МК-4905.2021.1.1
This work was supported by a grant of the President of the Russian Federation for young scientists (project no. MK-4905.2021.1.1).
Received: 01.06.2022
Revised: 07.07.2022
Accepted: 11.07.2022
Bibliographic databases:
Document Type: Article
UDC: 517.935.2
MSC: 34K17, 34K35
Language: Russian
Citation: E. I. Atamas', A. V. Il'in, “On the reduction of systems with incommensurate delays to a form with zero dynamics”, Trudy Inst. Mat. i Mekh. UrO RAN, 28, no. 3, 2022, 30–37
Citation in format AMSBIB
\Bibitem{AtaIli22}
\by E.~I.~Atamas', A.~V.~Il'in
\paper On the reduction of systems with incommensurate delays to a form with zero dynamics
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2022
\vol 28
\issue 3
\pages 30--37
\mathnet{http://mi.mathnet.ru/timm1925}
\crossref{https://doi.org/10.21538/0134-4889-2022-28-3-30-37}
\elib{https://elibrary.ru/item.asp?id=49352749}
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