Time optimal control for linear systems on Lie groups

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

doi:10.1016/j.sysconle.2021.104956

Time optimal control for linear systems on Lie groups

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

Departamento Académico de Matemáticas

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	104956
Journal	Systems and Control Letters
Volume	153
DOIs	https://doi.org/10.1016/j.sysconle.2021.104956
State	Published - 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.

Keywords

Lie groups
Linear systems
Pontryagin Maximum Principle
Time optimal control

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10.1016/j.sysconle.2021.104956

Cite this

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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.",

keywords = "Lie groups, Linear systems, Pontryagin Maximum Principle, Time optimal control",

author = "Victor Ayala and Philippe Jouan and {Torreblanca Todco}, {Maria Luisa} and Guilherme Zsigmond",

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AU - Ayala, Victor

AU - Jouan, Philippe

AU - Torreblanca Todco, Maria Luisa

AU - Zsigmond, Guilherme

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AB - 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.

KW - Lie groups

KW - Linear systems

KW - Pontryagin Maximum Principle

KW - Time optimal control

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DO - 10.1016/j.sysconle.2021.104956

M3 - Artículo

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JO - Systems and Control Letters

JF - Systems and Control Letters

SN - 0167-6911

M1 - 104956

ER -

Time optimal control for linear systems on Lie groups

Abstract

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Keywords

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