The Minimal Time Problem of an Affine System

Víctor Ayala; Adriano Da Silva; Maria Torreblanca Todco

doi:10.1007/s10957-024-02563-7

The Minimal Time Problem of an Affine System

Víctor Ayala
, Adriano Da Silva
, Maria Torreblanca Todco

Universidad Nacional San Agustín de Arequipa

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

Resumen

We applied the Pontryagin maximum principle and Filippov results to solve a minimal time problem for an affine system on a cylinder, treating the cylinder as a homogeneous space of the solvable Lie group of dimension two.

Idioma original	Inglés
Número de artículo	22
Publicación	Journal of Optimization Theory and Applications
Volumen	204
N.º	2
DOI	https://doi.org/10.1007/s10957-024-02563-7
Estado	Publicada - feb. 2025

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title = "The Minimal Time Problem of an Affine System",

abstract = "We applied the Pontryagin maximum principle and Filippov results to solve a minimal time problem for an affine system on a cylinder, treating the cylinder as a homogeneous space of the solvable Lie group of dimension two.",

keywords = "Affine control system, Homogeneous space, Minimal time problem, Pontryagin maximum principle",

author = "V{\'i}ctor Ayala and \{Da Silva\}, Adriano and Maria Torreblanca Todco",

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KW - Pontryagin maximum principle

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The Minimal Time Problem of an Affine System

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