Time optimal control for linear systems on Lie groups

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

Instituto de Alta Investigación

Université de Rouen Normandie
Universidad Nacional San Agustín de Arequipa

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

5 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Número de artículo	104956
Publicación	Systems and Control Letters
Volumen	153
DOI	https://doi.org/10.1016/j.sysconle.2021.104956
Estado	Publicada - jul 2021

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@article{2f55eb2b1e664a459bc764d1a73301c6,

title = "Time optimal control for linear systems on Lie groups",

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, \{Maria Luisa\} and Guilherme Zsigmond",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier B.V.",

year = "2021",

month = jul,

doi = "10.1016/j.sysconle.2021.104956",

language = "English",

volume = "153",

journal = "Systems and Control Letters",

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T1 - Time optimal control for linear systems on Lie groups

AU - Ayala, Victor

AU - Jouan, Philippe

AU - Torreblanca, Maria Luisa

AU - Zsigmond, Guilherme

PY - 2021/7

Y1 - 2021/7

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/85105589540

U2 - 10.1016/j.sysconle.2021.104956

DO - 10.1016/j.sysconle.2021.104956

M3 - Article

AN - SCOPUS:85105589540

SN - 0167-6911

VL - 153

JO - Systems and Control Letters

JF - Systems and Control Letters

M1 - 104956

ER -

Time optimal control for linear systems on Lie groups

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