Time optimal control for linear systems on Lie groups

Victor Ayala, Philippe Jouan, Maria Luisa Torreblanca Todco, Guilherme Zsigmond

Research output: Contribution to journalArticlepeer-review


This paper is devoted to the study of time optimal control of linear systems on Lie groups. General necessary conditions of the existence of time minimizers are stated when the controls are unbounded. The results are applied to systems on various Lie groups.

Original languageEnglish
Article number104956
JournalSystems and Control Letters
StatePublished - Jul 2021

Bibliographical note

Funding Information:
We would like to thank Universidad Nacional de San Agustín de Arequipa, Peru, UNSA , for support to this work under the Research Project Contract IAI-014-2018-UNSA

Publisher Copyright:
© 2021 Elsevier B.V.


  • Lie groups
  • Linear systems
  • Pontryagin Maximum Principle
  • Time optimal control


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