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.
Bibliographical noteFunding 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
© 2021 Elsevier B.V.
- Lie groups
- Linear systems
- Pontryagin Maximum Principle
- Time optimal control