Viscosity Solutions of Hamilton–Jacobi Equations for Neutral-Type Systems
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
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Viscosity Solutions of Hamilton–Jacobi Equations for Neutral-Type Systems
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| Автор |
Plaksin, A.
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| Тематика |
COINVARIANT DERIVATIVES
HAMILTON–JACOBI EQUATIONS MINIMAX SOLUTIONS NEUTRAL-TYPE SYSTEMS OPTIMAL CONTROL PROBLEMS VISCOSITY SOLUTIONS OPTIMAL CONTROL SYSTEMS CAUCHY PROBLEMS COINVARIANT DERIVATIVE DIFFERENTIAL GAMES GENERALIZED SOLUTION HAMILTON - JACOBI EQUATIONS MINIMAX MINIMAX SOLUTION NEUTRAL-TYPE SYSTEMS OPTIMAL CONTROL PROBLEM VISCOSITY SOLUTIONS VISCOSITY |
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| Описание |
The paper deals with path-dependent Hamilton–Jacobi equations with a coinvariant derivative which arise in investigations of optimal control problems and differential games for neutral-type systems in Hale’s form. A viscosity (generalized) solution of a Cauchy problem for such equations is considered. The existence, uniqueness, and consistency of the viscosity solution are proved. Equivalent definitions of the viscosity solution, including the definitions of minimax and Dini solutions, are obtained. Application of the results to an optimal control problem for neutral-type systems in Hale’s form are given. © 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
Russian Science Foundation, RSF: 21-71-10070 This work is supported by a Grant of the RSF No. 21-71-10070, https://rscf.ru/project/21-71-10070/ |
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| Дата |
2024-04-05T16:19:47Z
2024-04-05T16:19:47Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/submittedVersion |
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| Идентификатор |
Plaksin, A 2023, 'Viscosity Solutions of Hamilton–Jacobi Equations for Neutral-Type Systems', Applied Mathematics and Optimization, Том. 88, № 1, 6. https://doi.org/10.1007/s00245-023-09980-6
Plaksin, A. (2023). Viscosity Solutions of Hamilton–Jacobi Equations for Neutral-Type Systems. Applied Mathematics and Optimization, 88(1), [6]. https://doi.org/10.1007/s00245-023-09980-6 0095-4616 Final All Open Access, Green https://www.scopus.com/inward/record.uri?eid=2-s2.0-85153105075&doi=10.1007%2fs00245-023-09980-6&partnerID=40&md5=2ab905cb562fa594f95b5bb9b5420706 https://arxiv.org/pdf/2205.03800 http://elar.urfu.ru/handle/10995/130401 10.1007/s00245-023-09980-6 85153105075 000985464800013 |
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| Язык |
en
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| Связанные ресурсы |
info:eu-repo/grantAgreement/RSF//21-71-10070
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
Springer
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| Источник |
Applied Mathematics & Optimization
Applied Mathematics and Optimization |
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