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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	22
Journal	Journal of Optimization Theory and Applications
Volume	204
Issue number	2
DOIs	https://doi.org/10.1007/s10957-024-02563-7
State	Published - Feb 2025

Keywords

Affine control system
Homogeneous space
Minimal time problem
Pontryagin maximum principle

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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",

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The Minimal Time Problem of an Affine System

Abstract

Keywords

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