A semigroup associated to a linear control system on a Lie group

Víctor Ayala; Adriano Da Silva

doi:10.1016/j.sysconle.2016.09.021

A semigroup associated to a linear control system on a Lie group

Institute of Higher Research

Universidade Estadual de Campinas

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

5 Scopus citations

Abstract

Let us consider a linear control system Σ on a connected Lie group G. It is known that the accessibility set A from the identity e is in general not a semigroup. In this article we associate a new algebraic object S_Σ to Σ which turns out to be a semigroup, allowing the use of the semigroup machinery to approach Σ. In particular, we obtain some controllability results.

Original language	English
Pages (from-to)	33-36
Number of pages	4
Journal	Systems and Control Letters
Volume	98
DOIs	https://doi.org/10.1016/j.sysconle.2016.09.021
State	Published - 1 Dec 2016

Keywords

Controllability
Lie groups
Linear control systems
Semigroups

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10.1016/j.sysconle.2016.09.021

Cite this

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title = "A semigroup associated to a linear control system on a Lie group",

abstract = "Let us consider a linear control system Σ on a connected Lie group G. It is known that the accessibility set A from the identity e is in general not a semigroup. In this article we associate a new algebraic object SΣ to Σ which turns out to be a semigroup, allowing the use of the semigroup machinery to approach Σ. In particular, we obtain some controllability results.",

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year = "2016",

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T1 - A semigroup associated to a linear control system on a Lie group

AU - Ayala, Víctor

AU - Silva, Adriano Da

PY - 2016/12/1

Y1 - 2016/12/1

N2 - Let us consider a linear control system Σ on a connected Lie group G. It is known that the accessibility set A from the identity e is in general not a semigroup. In this article we associate a new algebraic object SΣ to Σ which turns out to be a semigroup, allowing the use of the semigroup machinery to approach Σ. In particular, we obtain some controllability results.

AB - Let us consider a linear control system Σ on a connected Lie group G. It is known that the accessibility set A from the identity e is in general not a semigroup. In this article we associate a new algebraic object SΣ to Σ which turns out to be a semigroup, allowing the use of the semigroup machinery to approach Σ. In particular, we obtain some controllability results.

KW - Controllability

KW - Lie groups

KW - Linear control systems

KW - Semigroups

UR - https://www.scopus.com/pages/publications/84995570229

U2 - 10.1016/j.sysconle.2016.09.021

DO - 10.1016/j.sysconle.2016.09.021

M3 - Article

AN - SCOPUS:84995570229

SN - 0167-6911

VL - 98

SP - 33

EP - 36

JO - Systems and Control Letters

JF - Systems and Control Letters

ER -

A semigroup associated to a linear control system on a Lie group

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Keywords

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