CONVEXITY OF REACHABLE SETS OF QUASILINEAR SYSTEMS
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
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CONVEXITY OF REACHABLE SETS OF QUASILINEAR SYSTEMS
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| Автор |
Osipov, I. O.
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| Тематика |
UASILINEAR CONTROL SYSTEM
SMALL PARAMETER INTEGRAL CONSTRAINTS REACHABLE SETS CONVEXITY |
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| Описание |
This paper investigates convexity of reachable sets for quasilinear systems under integral quadratic constraints. Drawing inspiration from B.T. Polyak’s work on small Hilbert ball image under nonlinear mappings, the study extends the analysis to scenarios where a small nonlinearity exists on the system’s right-hand side. At zero value of a small parameter, the quasilinear system turns into a linear system and its reachable set is convex. The investigation reveals that to maintain convexity of reachable sets of these systems, the nonlinear mapping’s derivative must be Lipschitz continuous. The proof methodology follows a Polyak’s scheme. The paper’s structure encompasses problem formulation, exploration of parameter linear mapping and image transformation, application to quasilinear control systems, and concludes with illustrative examples.
The work was performed as part of research conducted in the Ural Mathematical Center with the financial support of the Ministry of Science and Higher Education of the Russian Federation (Agreement no. 075-02-2023-913). |
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| Дата |
2024-02-14T05:20:40Z
2024-02-14T05:20:40Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) Published version (info:eu-repo/semantics/publishedVersion) |
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| Идентификатор |
Osipov I. O. CONVEXITY OF REACHABLE SETS OF QUASILINEAR SYSTEMS / I. O. Osipov. — Text : electronic // Ural Mathematical Journal. — 2023. — Volume 9. — № 2. — P. 141-156.
2414-3952 https://umjuran.ru/index.php/umj/article/view/687 http://elar.urfu.ru/handle/10995/129424 59690663 10.15826/umj.2023.2.012 |
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| Язык |
en
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| Связанные ресурсы |
Ural Mathematical Journal. 2023. Volume 9. № 2
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| Права |
Creative Commons Attribution License
https://creativecommons.org/licenses/by/4.0/ |
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| Формат |
application/pdf
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