The Minimal Time Problem of an Affine System

Víctor Ayala (), Adriano Silva () and Maria Torreblanca Todco ()
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Víctor Ayala: Universidad de Tarapacá
Adriano Silva: Universidad de Tarapacá
Maria Torreblanca Todco: Universidad de San Agustín de Arequipa

Journal of Optimization Theory and Applications, 2025, vol. 204, issue 2, No 7, 19 pages

Abstract: 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: Minimal time problem; Pontryagin maximum principle; Homogeneous space; Affine control system; 49N05; 93C05; 22E25 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10957-024-02563-7

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