Affine and bilinear systems on Lie groups

Víctor Ayala; Adriano Da Silva; Max Ferreira

doi:10.1016/j.sysconle.2018.05.001

Affine and bilinear systems on Lie groups

Institute of Higher Research

Universidad Católica del Norte
Universidade Estadual de Campinas
Universidade Federal de Roraima

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

5 Scopus citations

Abstract

In this paper we study affine and bilinear systems on Lie groups. We show that there is an intrinsic connection between the solutions of both systems. Such relation allows us to obtain some preliminary controllability results of affine systems on compact and solvable Lie groups. We also show that the controllability property of bilinear systems is very restricted and may only be achieved if the state space G is an Euclidean space.

Original language	English
Pages (from-to)	23-29
Number of pages	7
Journal	Systems and Control Letters
Volume	117
DOIs	https://doi.org/10.1016/j.sysconle.2018.05.001
State	Published - Jul 2018

Keywords

Affine systems
Bilinear systems
Controllability

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10.1016/j.sysconle.2018.05.001

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title = "Affine and bilinear systems on Lie groups",

abstract = "In this paper we study affine and bilinear systems on Lie groups. We show that there is an intrinsic connection between the solutions of both systems. Such relation allows us to obtain some preliminary controllability results of affine systems on compact and solvable Lie groups. We also show that the controllability property of bilinear systems is very restricted and may only be achieved if the state space G is an Euclidean space.",

keywords = "Affine systems, Bilinear systems, Controllability",

author = "V{\'i}ctor Ayala and \{Da Silva\}, Adriano and Max Ferreira",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier B.V.",

year = "2018",

month = jul,

doi = "10.1016/j.sysconle.2018.05.001",

language = "English",

volume = "117",

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TY - JOUR

T1 - Affine and bilinear systems on Lie groups

AU - Ayala, Víctor

AU - Da Silva, Adriano

AU - Ferreira, Max

PY - 2018/7

Y1 - 2018/7

N2 - In this paper we study affine and bilinear systems on Lie groups. We show that there is an intrinsic connection between the solutions of both systems. Such relation allows us to obtain some preliminary controllability results of affine systems on compact and solvable Lie groups. We also show that the controllability property of bilinear systems is very restricted and may only be achieved if the state space G is an Euclidean space.

AB - In this paper we study affine and bilinear systems on Lie groups. We show that there is an intrinsic connection between the solutions of both systems. Such relation allows us to obtain some preliminary controllability results of affine systems on compact and solvable Lie groups. We also show that the controllability property of bilinear systems is very restricted and may only be achieved if the state space G is an Euclidean space.

KW - Affine systems

KW - Bilinear systems

KW - Controllability

UR - https://www.scopus.com/pages/publications/85047165848

U2 - 10.1016/j.sysconle.2018.05.001

DO - 10.1016/j.sysconle.2018.05.001

M3 - Article

AN - SCOPUS:85047165848

SN - 0167-6911

VL - 117

SP - 23

EP - 29

JO - Systems and Control Letters

JF - Systems and Control Letters

ER -

Affine and bilinear systems on Lie groups

Abstract

Keywords

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