An underactuated drift-free left invariant control system on a specific Lie group

DOI10.1155/2012/341470zbMath1242.93031OpenAlexW2086324247WikidataQ58906695 ScholiaQ58906695MaRDI QIDQ410935

Camelia Pop Arieşanu

Publication date: 4 April 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/341470

zbMATH Keywords

optimal controlgeometrical overviewHamilton-Poisson realization of the dynamicsspecial Lie group

Mathematics Subject Classification ID

Geometric methods (93B27) Algebraic methods (93B25) Applications of Lie groups to the sciences; explicit representations (22E70)

Cites Work

• An optimal control problem on the Lie group \(SE(2,\mathbb{R})\times SO(2)\)
• Periodic orbits in the case of a zero eigenvalue
• Control systems on Lie groups
• Nonholonomic motion planning: steering using sinusoids
• Equivalence of energy methods in stability theory
• AN OPTIMAL CONTROL PROBLEM ON THE LIE GROUP SO(4)
• LIE–TROTTER FORMULA AND POISSON DYNAMICS
• Unnamed Item

This page was built for publication: An underactuated drift-free left invariant control system on a specific Lie group