Publication detail

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

HRDINA, J. ZALABOVÁ, L.

English title

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

Type

WoS Article

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.

Keywords in English

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

Released

2020-04-04

ISSN

1079-2724

Journal

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS

Volume

26

Number

2

Pages from–to

199–216

Pages count

18

BIBTEX


@article{BUT158400,
  author="Jaroslav {Hrdina} and Lenka {Zalabová}",
  title="Local Geometric Control of a Certain Mechanism with the Growth Vector (4,7)",
  journal="JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS",
  year="2020",
  volume="26",
  number="2",
  pages="199--216",
  doi="10.1007/s10883-019-09460-7",
  issn="1079-2724",
  url="https://doi.org/10.1007/s10883-019-09460-7"
}