Extremal paths in the nilpotent sub-Riemannian problem on the Engel group (subcritical case of pendulum oscillations)

DOI10.1007/S10958-014-1876-1zbMath1304.93063OpenAlexW1980874986WikidataQ115382355 ScholiaQ115382355MaRDI QIDQ2255625

Yanyan Li

Publication date: 17 February 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-014-1876-1

zbMATH Keywords

Pontryagin's maximum principleHamiltonian systemEngel grouppendulum equationnilpotent approximationnonholonomic systems in the four-dimensional spacesub-Riemannian problem

Mathematics Subject Classification ID

Automated systems (robots, etc.) in control theory (93C85) Variational problems in a geometric measure-theoretic setting (49Q20) Nonholonomic systems related to the dynamics of a system of particles (70F25) Nonholonomic dynamical systems (37J60)

Related Items (1)

Control systems on the Engel group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Extremal paths in the nilpotent sub-Riemannian problem on the Engel group (subcritical case of pendulum oscillations)