Dynamics of Linear Control Systems on the Group of Proper Motions

Víctor Ayala; Adriano Da Silva; Alejandro Otero Robles

doi:10.1007/s10883-023-09667-9

Dynamics of Linear Control Systems on the Group of Proper Motions

Víctor Ayala
, Adriano Da Silva
, Alejandro Otero Robles

Universidade Estadual de Campinas

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

3 Scopus citations

Abstract

This article describes the dynamical behavior of any linear control system on the group of proper motions SE(2). It characterizes the controllability property and the control sets of these systems.

Original language	English
Pages (from-to)	1961-1979
Number of pages	19
Journal	Journal of Dynamical and Control Systems
Volume	29
Issue number	4
DOIs	https://doi.org/10.1007/s10883-023-09667-9
State	Published - Oct 2023

Keywords

Control sets
Controllability
Proper motions

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10.1007/s10883-023-09667-9

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title = "Dynamics of Linear Control Systems on the Group of Proper Motions",

abstract = "This article describes the dynamical behavior of any linear control system on the group of proper motions SE(2). It characterizes the controllability property and the control sets of these systems.",

keywords = "Control sets, Controllability, Proper motions",

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

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2023",

month = oct,

doi = "10.1007/s10883-023-09667-9",

language = "English",

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AU - Ayala, Víctor

AU - Da Silva, Adriano

AU - Robles, Alejandro Otero

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Y1 - 2023/10

N2 - This article describes the dynamical behavior of any linear control system on the group of proper motions SE(2). It characterizes the controllability property and the control sets of these systems.

AB - This article describes the dynamical behavior of any linear control system on the group of proper motions SE(2). It characterizes the controllability property and the control sets of these systems.

KW - Control sets

KW - Controllability

KW - Proper motions

UR - https://www.scopus.com/pages/publications/85172186418

U2 - 10.1007/s10883-023-09667-9

DO - 10.1007/s10883-023-09667-9

M3 - Article

AN - SCOPUS:85172186418

SN - 1079-2724

VL - 29

SP - 1961

EP - 1979

JO - Journal of Dynamical and Control Systems

JF - Journal of Dynamical and Control Systems

IS - 4

ER -

Dynamics of Linear Control Systems on the Group of Proper Motions

Abstract

Keywords

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