On Integration of a Matrix Riccati Equation Full article
| Journal |
Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 |
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| Output data | Year: 2020, Volume: 14, Number: 4, Pages: 732-742 Pages count : 11 DOI: 10.1134/s1990478920040110 | ||||||
| Tags | algebraic invariant; Jordan form; matrix Riccati equation | ||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Министерство науки и высшего образования Российской Федерации | FWGG-2021-0009 |
Abstract:
We execute the complete integration of the simplest matrix Riccati equation in the two- and three-dimensional cases for an arbitrary linear differential operator. The solution is constructed in terms of the Jordan form of an unknown matrix and the corresponding similarity matrix. We show that a similarity matrix is always representable as the product of two matrices one of which is an invariant of the differential operator.
Cite:
Neshchadim M.V.
, Chupakhin A.P.
On Integration of a Matrix Riccati Equation
Journal of Applied and Industrial Mathematics. 2020. V.14. N4. P.732-742. DOI: 10.1134/s1990478920040110 Scopus РИНЦ OpenAlex
On Integration of a Matrix Riccati Equation
Journal of Applied and Industrial Mathematics. 2020. V.14. N4. P.732-742. DOI: 10.1134/s1990478920040110 Scopus РИНЦ OpenAlex
Original:
Нещадим М.В.
, Чупахин А.П.
ОБ ИНТЕГРИРОВАНИИ ОДНОГО МАТРИЧНОГО УРАВНЕНИЯ РИККАТИ
Сибирский журнал индустриальной математики. 2020. Т.23. №4. С.101–113. DOI: 10.33048/SIBJIM.2020.23.408 РИНЦ OpenAlex
ОБ ИНТЕГРИРОВАНИИ ОДНОГО МАТРИЧНОГО УРАВНЕНИЯ РИККАТИ
Сибирский журнал индустриальной математики. 2020. Т.23. №4. С.101–113. DOI: 10.33048/SIBJIM.2020.23.408 РИНЦ OpenAlex
Dates:
| Submitted: | Aug 27, 2020 |
| Accepted: | Sep 10, 2020 |
| Published print: | Jan 29, 2021 |
Identifiers:
| Scopus: | 2-s2.0-85100385214 |
| Elibrary: | 44958478 |
| OpenAlex: | W3129042448 |