Publication detail

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

HRDINA, J. ZALABOVÁ, L.

Original Title

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

English Title

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

Type

journal article in Web of Science

Language

en

Original Abstract

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.

English abstract

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.

Keywords

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

Released

04.04.2020

Pages from

199

Pages to

216

Pages count

18

URL

Documents

BibTex


@article{BUT158400,
  author="Jaroslav {Hrdina} and Lenka {Zalabová}",
  title="Local Geometric Control of a Certain Mechanism with the Growth Vector (4,7)",
  annote="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.",
  chapter="158400",
  doi="10.1007/s10883-019-09460-7",
  howpublished="print",
  number="2",
  volume="26",
  year="2020",
  month="april",
  pages="199--216",
  type="journal article in Web of Science"
}