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Time optimal control for linear systems on Lie groups

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

SYSTEMS & CONTROL LETTERS（2021）

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Abstract
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. (C) 2021 Elsevier B.V. All rights reserved.
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Key words
Lie groups,Linear systems,Time optimal control,Pontryagin Maximum Principle
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