Minimal-time problems for linear control systems on homogeneous spaces of low-dimensional solvable nonnilpotent Lie groups
In this article, we are concerned with minimal-time optimal problems for the class of controllable linear control system on low-dimensional nonnilpotent solvable Lie groups and their homogeneous spaces.
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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De Gruyter
2023-10-01
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Series: | Open Mathematics |
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Online Access: | https://doi.org/10.1515/math-2023-0119 |
_version_ | 1797646290325078016 |
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author | Da Silva Adriano Torreblanca Maria Apaza Edgar Bedoya Yaan |
author_facet | Da Silva Adriano Torreblanca Maria Apaza Edgar Bedoya Yaan |
author_sort | Da Silva Adriano |
collection | DOAJ |
description | In this article, we are concerned with minimal-time optimal problems for the class of controllable linear control system on low-dimensional nonnilpotent solvable Lie groups and their homogeneous spaces. |
first_indexed | 2024-03-11T14:59:29Z |
format | Article |
id | doaj.art-2043c27c9c544a8cb6f8e25c8703e5cb |
institution | Directory Open Access Journal |
issn | 2391-5455 |
language | English |
last_indexed | 2024-03-11T14:59:29Z |
publishDate | 2023-10-01 |
publisher | De Gruyter |
record_format | Article |
series | Open Mathematics |
spelling | doaj.art-2043c27c9c544a8cb6f8e25c8703e5cb2023-10-30T07:58:37ZengDe GruyterOpen Mathematics2391-54552023-10-0121195697310.1515/math-2023-0119Minimal-time problems for linear control systems on homogeneous spaces of low-dimensional solvable nonnilpotent Lie groupsDa Silva Adriano0Torreblanca Maria1Apaza Edgar2Bedoya Yaan3Departamento de Matemática, Universidad de Tarapacá - Iquique, ChileAcadémico de Matemática, Universidad de San Agustín de Arequipa, Arequipa, PerúAcadémico de Matemática, Universidad de San Agustín de Arequipa, Arequipa, PerúAcadémico de Matemática, Universidad de San Agustín de Arequipa, Arequipa, PerúIn this article, we are concerned with minimal-time optimal problems for the class of controllable linear control system on low-dimensional nonnilpotent solvable Lie groups and their homogeneous spaces.https://doi.org/10.1515/math-2023-0119linear control systemshomogeneous spacesminimal-time problemspontryagin maximum principle93c0593b29 |
spellingShingle | Da Silva Adriano Torreblanca Maria Apaza Edgar Bedoya Yaan Minimal-time problems for linear control systems on homogeneous spaces of low-dimensional solvable nonnilpotent Lie groups Open Mathematics linear control systems homogeneous spaces minimal-time problems pontryagin maximum principle 93c05 93b29 |
title | Minimal-time problems for linear control systems on homogeneous spaces of low-dimensional solvable nonnilpotent Lie groups |
title_full | Minimal-time problems for linear control systems on homogeneous spaces of low-dimensional solvable nonnilpotent Lie groups |
title_fullStr | Minimal-time problems for linear control systems on homogeneous spaces of low-dimensional solvable nonnilpotent Lie groups |
title_full_unstemmed | Minimal-time problems for linear control systems on homogeneous spaces of low-dimensional solvable nonnilpotent Lie groups |
title_short | Minimal-time problems for linear control systems on homogeneous spaces of low-dimensional solvable nonnilpotent Lie groups |
title_sort | minimal time problems for linear control systems on homogeneous spaces of low dimensional solvable nonnilpotent lie groups |
topic | linear control systems homogeneous spaces minimal-time problems pontryagin maximum principle 93c05 93b29 |
url | https://doi.org/10.1515/math-2023-0119 |
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