J 2020

Local Geometric Control of a Certain Mechanism with the Growth Vector (4,7)

HRDINA, Jaroslav and Lenka ZALABOVÁ

Basic information

Original name

Local Geometric Control of a Certain Mechanism with the Growth Vector (4,7)

Authors

HRDINA, Jaroslav (guarantor) and Lenka ZALABOVÁ (203 Czech Republic, belonging to the institution)

Edition

Journal of Dynamical and Control Systems, New York, Springer, 2020, 1079-2724

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Impact factor

Impact factor: 1.425

RIV identification code

RIV/00216224:14310/20:00114471

Organization unit

Faculty of Science

DOI

UT WoS

000519375400001

Keywords in English

Local control; Sub-Riemannian geometry; Pontryagin's maximum principle; Nilpotent Lie group

Tags

Tags

International impact, Reviewed
Změněno: 16/11/2020 11:08, Mgr. Marie Šípková, DiS.

Abstract

V originále

We study local control of a mechanism with the growth vector (4,7). We study controllability and extremal trajectories of the nilpotent approximation as an example of the control theory on a Lie group. We provide solutions to the system and show examples of local extremal trajectories.

Links

GA17-01171S, research and development project
Name: Invariantní diferenciální operátory a jejich aplikace v geometrickém modelování a v teorii optimálního řízení
Investor: Czech Science Foundation