This article is cited in 1 scientific paper (total in 1 paper)
MATHEMATICS
Asymptotic approximations validity boundaries for decoupling transformation of three-time-scale linear time-invariant singularly perturbed systems with delay
Abstract:
For time-invariant singularly perturbed control systems with state delay the method of separation of movements is
evolved on the basis of Chang-type non-degenerate transformation. Asymptotic approximations for completely separated
subsystems of the considered singularly perturbed system with three-time scales are introduced, boundaries of values of small
singularity parameters are constructed and proved, which guarantee the validity of asymptotic representations and estimates of
solutions underlying matrix operator equations, asymptotic approximations for the decoupling transformation and matrix
operators of the split system. An illustrative example is given.
The work of Olga Tsekhan was partially supported by the Ministry of Education of the Republic
of Belarus under the State program of scientific research “Convergence-2025”: task 1.2.04.
Received: 03.12.2021
Bibliographic databases:
Document Type:
Article
UDC:517.977
Language: English
Citation:
C. A. Naligama, O. B. Tsekhan, “Asymptotic approximations validity boundaries for decoupling transformation of three-time-scale linear time-invariant singularly perturbed systems with delay”, PFMT, 2022, no. 2(51), 83–93
\Bibitem{NalTse22}
\by C.~A.~Naligama, O.~B.~Tsekhan
\paper Asymptotic approximations validity boundaries for decoupling transformation of three-time-scale linear time-invariant singularly perturbed systems with delay
\jour PFMT
\yr 2022
\issue 2(51)
\pages 83--93
\mathnet{http://mi.mathnet.ru/pfmt848}
\crossref{https://doi.org/10.54341/20778708_2022_2_51_83}
\edn{https://elibrary.ru/ZLGNYA}
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https://www.mathnet.ru/eng/pfmt848
https://www.mathnet.ru/eng/pfmt/y2022/i2/p83
This publication is cited in the following 1 articles:
Ch. A. Naligama, O. B. Tsekhan, “Robust stabilizability and stabilization of three-time-scale linear time-invariant singularly perturbed systems with delay”, Vescì Akademìì navuk Belarusì. Seryâ fizika-matematyčnyh navuk, 59:2 (2023), 110
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