Control sets of linear systems on semi-simple Lie groups

Víctor Ayala; Adriano Da Silva; Philippe Jouan; Guilherme Zsigmond

doi:10.1016/j.jde.2019.12.010

Control sets of linear systems on semi-simple Lie groups

Víctor Ayala
, Adriano Da Silva
, Philippe Jouan
, Guilherme Zsigmond

Institute of Higher Research

Universidad Católica del Norte
Universidade Estadual de Campinas
Université de Rouen Normandie

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

15 Scopus citations

Abstract

In this paper we study the main properties of control sets with nonempty interior of linear systems on semisimple Lie groups. We show that, unlike the solvable case, linear systems on semisimple Lie groups may have more than one control set with nonempty interior and that they are contained in right translations of the one around the identity.

Original language	English
Pages (from-to)	449-466
Number of pages	18
Journal	Journal of Differential Equations
Volume	269
Issue number	1
DOIs	https://doi.org/10.1016/j.jde.2019.12.010
State	Published - 15 Jun 2020

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10.1016/j.jde.2019.12.010

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title = "Control sets of linear systems on semi-simple Lie groups",

abstract = "In this paper we study the main properties of control sets with nonempty interior of linear systems on semisimple Lie groups. We show that, unlike the solvable case, linear systems on semisimple Lie groups may have more than one control set with nonempty interior and that they are contained in right translations of the one around the identity.",

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AU - Ayala, Víctor

AU - Da Silva, Adriano

AU - Jouan, Philippe

AU - Zsigmond, Guilherme

PY - 2020/6/15

Y1 - 2020/6/15

N2 - In this paper we study the main properties of control sets with nonempty interior of linear systems on semisimple Lie groups. We show that, unlike the solvable case, linear systems on semisimple Lie groups may have more than one control set with nonempty interior and that they are contained in right translations of the one around the identity.

AB - In this paper we study the main properties of control sets with nonempty interior of linear systems on semisimple Lie groups. We show that, unlike the solvable case, linear systems on semisimple Lie groups may have more than one control set with nonempty interior and that they are contained in right translations of the one around the identity.

UR - https://www.scopus.com/pages/publications/85077705222

U2 - 10.1016/j.jde.2019.12.010

DO - 10.1016/j.jde.2019.12.010

M3 - Article

AN - SCOPUS:85077705222

SN - 0022-0396

VL - 269

SP - 449

EP - 466

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 1

ER -

Control sets of linear systems on semi-simple Lie groups

Abstract

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