Weak*approximations for the solution of a dynamic reconstruction problem
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
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Weak*approximations for the solution of a dynamic reconstruction problem
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| Автор |
Subbotina, N. N.
Krupennikov, E. A. |
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| Тематика |
CONVEX-CONCAVE DISCREPANCY
DYNAMIC RECONSTRUCTION PROBLEMS HAMILTONIAN SYSTEMS PROBLEMS OF CALCULUS OF VARIATIONS |
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| Описание |
We consider the problem of the dynamic reconstruction of an observed state trajectory x() of an affine deterministic dynamic system and the control that has generated this trajectory. The reconstruction is based on current information about inaccurate discrete measurements of x(). A correct statement of the problem on the construction of approximations ul() of the normal control ul() generating x∗() is refined. The solution of this problem obtained using the variational approach proposed by the authors is discussed. Conditions on the input data and matching conditions for the approximation parameters (parameters of the accuracy and frequency of measurements of the trajectory and an auxiliary regularizing parameter) are given. Under these conditions, the reconstructed trajectories xl() of the dynamical system converge uniformly to the observed trajectory x∗() in the space of continuous functions C as l → ∞. It is proved that the proposed controls ul() converge weakly∗to u∗() in the space of summable functions L1. © 2021 Krasovskii Institute of Mathematics and Mechanics. All rights reserved.
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| Дата |
2024-04-08T11:07:49Z
2024-04-08T11:07:49Z 2022 |
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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 |
Субботина, НН & Крупенников, ЕА 2021, 'Слабые со звездой аппроксимации решения задачи динамической реконструкции', Труды института математики и механики УрО РАН, Том. 27, № 2, стр. 208-220. https://doi.org/10.21538/0134-4889-2021-27-2-208-220
Субботина, Н. Н., & Крупенников, Е. А. (2021). Слабые со звездой аппроксимации решения задачи динамической реконструкции. Труды института математики и механики УрО РАН, 27(2), 208-220. https://doi.org/10.21538/0134-4889-2021-27-2-208-220 0134-4889 Final All Open Access; Bronze Open Access http://journal.imm.uran.ru/sites/default/files/content/27_2/TrIMMUrORAN_2021_2_p208_L.pdf http://journal.imm.uran.ru/sites/default/files/content/27_2/TrIMMUrORAN_2021_2_p208_L.pdf http://elar.urfu.ru/handle/10995/131517 45771415 10.21538/0134-4889-2021-27-2-208-220 85108290795 000660522100018 |
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| Язык |
ru
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
Krasovskii Institute of Mathematics and Mechanics
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| Источник |
Trudy Instituta Matematiki i Mekhaniki UrO RAN
Trudy Instituta Matematiki i Mekhaniki UrO RAN |
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