The control set of a linear control system on the two dimensional Lie group

Víctor Ayala; Adriano Da Silva

doi:10.1016/j.jde.2019.11.054

The control set of a linear control system on the two dimensional Lie group

Institute of Higher Research

Universidade Estadual de Campinas

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

17 Scopus citations

Abstract

In this paper we explicitly calculate the control sets associated with a linear control system on the two dimensional solvable Lie group. We show that a linear control system of such kind admits exactly one control set or infinite control sets depending on some algebraic conditions.

Original language	English
Pages (from-to)	6683-6701
Number of pages	19
Journal	Journal of Differential Equations
Volume	268
Issue number	11
DOIs	https://doi.org/10.1016/j.jde.2019.11.054
State	Published - 15 May 2020

Keywords

Linear control systems
Solvable Lie group

Access to Document

10.1016/j.jde.2019.11.054

Cite this

@article{cb54965ffea4495b86de9fabfe164797,

title = "The control set of a linear control system on the two dimensional Lie group",

abstract = "In this paper we explicitly calculate the control sets associated with a linear control system on the two dimensional solvable Lie group. We show that a linear control system of such kind admits exactly one control set or infinite control sets depending on some algebraic conditions.",

keywords = "Linear control systems, Solvable Lie group",

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

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

year = "2020",

month = may,

day = "15",

doi = "10.1016/j.jde.2019.11.054",

language = "English",

volume = "268",

pages = "6683--6701",

journal = "Journal of Differential Equations",

issn = "0022-0396",

number = "11",

}

TY - JOUR

T1 - The control set of a linear control system on the two dimensional Lie group

AU - Ayala, Víctor

AU - Da Silva, Adriano

PY - 2020/5/15

Y1 - 2020/5/15

N2 - In this paper we explicitly calculate the control sets associated with a linear control system on the two dimensional solvable Lie group. We show that a linear control system of such kind admits exactly one control set or infinite control sets depending on some algebraic conditions.

AB - In this paper we explicitly calculate the control sets associated with a linear control system on the two dimensional solvable Lie group. We show that a linear control system of such kind admits exactly one control set or infinite control sets depending on some algebraic conditions.

KW - Linear control systems

KW - Solvable Lie group

UR - https://www.scopus.com/pages/publications/85081017080

U2 - 10.1016/j.jde.2019.11.054

DO - 10.1016/j.jde.2019.11.054

M3 - Article

AN - SCOPUS:85081017080

SN - 0022-0396

VL - 268

SP - 6683

EP - 6701

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 11

ER -

The control set of a linear control system on the two dimensional Lie group

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this