Email this article Transformation of Time-Delay Systems to a Form with Zero Dynamics
- Authors: Il’in A.V.1,2,3, Atamas’ E.I.2, Fomichev V.V.1,2,3,4
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Affiliations:
- Department of Mathematics, School of Science
- Faculty of Computational Mathematics and Cybernetics
- Center of Information Technologies in Design
- Trapeznikov Institute of Control Sciences
- Issue: Vol 97, No 3 (2018)
- Pages: 203-206
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225494
- DOI: https://doi.org/10.1134/S106456241803002X
- ID: 225494
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Abstract
The problem of transforming a controlled linear stationary system of differential equations with commensurable time delays into a canonical form with zero dynamics is considered. This problem has been well studied for ODE systems and is closely related to the concept of a relative degree. In this paper, the results are extended to time-delay systems.
About the authors
A. V. Il’in
Department of Mathematics, School of Science; Faculty of Computational Mathematics and Cybernetics; Center of Information Technologies in Design
Author for correspondence.
Email: iline@cs.msu.ru
China, Hangzhou; Moscow, 119992; Odintsovo, Moscow oblast, 143000
E. I. Atamas’
Faculty of Computational Mathematics and Cybernetics
Email: iline@cs.msu.ru
Russian Federation, Moscow, 119992
V. V. Fomichev
Department of Mathematics, School of Science; Faculty of Computational Mathematics and Cybernetics; Center of Information Technologies in Design; Trapeznikov Institute of Control Sciences
Email: iline@cs.msu.ru
China, Hangzhou; Moscow, 119992; Odintsovo, Moscow oblast, 143000; Moscow, 117997
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