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.

Bibliographic Details
Main Authors: Da Silva Adriano, Torreblanca Maria, Apaza Edgar, Bedoya Yaan
Format: Article
Language:English
Published: De Gruyter 2023-10-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2023-0119
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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.
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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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AT apazaedgar minimaltimeproblemsforlinearcontrolsystemsonhomogeneousspacesoflowdimensionalsolvablenonnilpotentliegroups
AT bedoyayaan minimaltimeproblemsforlinearcontrolsystemsonhomogeneousspacesoflowdimensionalsolvablenonnilpotentliegroups