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The Minimal Time Problem of an Affine System

Author

Listed:
  • Víctor Ayala

    (Universidad de Tarapacá)

  • Adriano Silva

    (Universidad de Tarapacá)

  • Maria Torreblanca Todco

    (Universidad de San Agustín de Arequipa)

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.

Suggested Citation

  • Víctor Ayala & Adriano Silva & Maria Torreblanca Todco, 2025. "The Minimal Time Problem of an Affine System," Journal of Optimization Theory and Applications, Springer, vol. 204(2), pages 1-19, February.
    • Handle: RePEc:spr:joptap:v:204:y:2025:i:2:d:10.1007_s10957-024-02563-7
    DOI: 10.1007/s10957-024-02563-7
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    References listed on IDEAS

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    1. Sorin-Mihai Grad & Oleg Wilfer, 2019. "A proximal method for solving nonlinear minmax location problems with perturbed minimal time functions via conjugate duality," Journal of Global Optimization, Springer, vol. 74(1), pages 121-160, May.
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