A drift-free left invariant control system on the Lie group \(\mathrm{SO}(3) \times \mathbb R^3 \times \mathbb R^3\)

DOI10.1155/2015/652819zbMath1394.70046OpenAlexW1540694487WikidataQ59119330 ScholiaQ59119330MaRDI QIDQ1666255

Y. Aharonov

Publication date: 27 August 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/652819

Mathematics Subject Classification ID

Controllability (93B05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (1)

Stability problems and numerical integration on the Lie group \(\mathrm{SO}(3) \times \mathbb{R}^3 \times \mathbb{R}^3\)

Cites Work

• Unnamed Item
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• An optimal control problem on the Lie group \(SE(2,\mathbb{R})\times SO(2)\)
• The geometry of the plate-ball problem
• Stability of a bottom-heavy underwater vehicle
• Multiple Lie-Poisson structures, reductions, and geometric phases for the Maxwell-Bloch travelling wave equations
• Control theory from the geometric viewpoint.
• Cost-extended control systems on Lie groups
• Some new remarks about the dynamics of an automobile with two trailers
• Controllability problems in the charged top dynamics
• Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung
• On the Product of Semi-Groups of Operators
• AN OPTIMAL CONTROL PROBLEM ON THE LIE GROUP SO(4)
• ON A HAMILTONIAN VERSION OF CONTROLS DYNAMIC FOR A DRIFT-FREE LEFT INVARIANT CONTROL SYSTEM ON G₄
• Simple evaluation of Casimir invariants in finite-dimensional Poisson systems

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