On the characterization of the controllability property for linear control systems on nonnilpotent, solvable three-dimensional Lie groups

Víctor Ayala; Adriano Da Silva

doi:10.1016/j.jde.2018.12.027

On the characterization of the controllability property for linear control systems on nonnilpotent, solvable three-dimensional Lie groups

Institute of Higher Research

Universidade Estadual de Campinas

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

23 Scopus citations

Abstract

In this paper we show that a complete characterization of the controllability property for linear control system on three-dimensional solvable nonnilpotent Lie groups is possible by the LARC and the knowledge of the eigenvalues of the derivation associated with the drift of the system.

Original language	English
Pages (from-to)	8233-8257
Number of pages	25
Journal	Journal of Differential Equations
Volume	266
Issue number	12
DOIs	https://doi.org/10.1016/j.jde.2018.12.027
State	Published - 5 Jun 2019

Keywords

Controllability
Derivation
Linear control systems
Solvable Lie groups

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10.1016/j.jde.2018.12.027

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title = "On the characterization of the controllability property for linear control systems on nonnilpotent, solvable three-dimensional Lie groups",

abstract = "In this paper we show that a complete characterization of the controllability property for linear control system on three-dimensional solvable nonnilpotent Lie groups is possible by the LARC and the knowledge of the eigenvalues of the derivation associated with the drift of the system.",

keywords = "Controllability, Derivation, Linear control systems, Solvable Lie groups",

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

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year = "2019",

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T1 - On the characterization of the controllability property for linear control systems on nonnilpotent, solvable three-dimensional Lie groups

AU - Ayala, Víctor

AU - Da Silva, Adriano

PY - 2019/6/5

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N2 - In this paper we show that a complete characterization of the controllability property for linear control system on three-dimensional solvable nonnilpotent Lie groups is possible by the LARC and the knowledge of the eigenvalues of the derivation associated with the drift of the system.

AB - In this paper we show that a complete characterization of the controllability property for linear control system on three-dimensional solvable nonnilpotent Lie groups is possible by the LARC and the knowledge of the eigenvalues of the derivation associated with the drift of the system.

KW - Controllability

KW - Derivation

KW - Linear control systems

KW - Solvable Lie groups

UR - https://www.scopus.com/pages/publications/85059517592

U2 - 10.1016/j.jde.2018.12.027

DO - 10.1016/j.jde.2018.12.027

M3 - Article

AN - SCOPUS:85059517592

SN - 0022-0396

VL - 266

SP - 8233

EP - 8257

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 12

ER -

On the characterization of the controllability property for linear control systems on nonnilpotent, solvable three-dimensional Lie groups

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Keywords

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