Motion on Lie groups and its applications in control theory.

DOI10.1016/S0034-4877(03)80010-1zbMath1086.93006arXivmath-ph/0307001OpenAlexW3103278547WikidataQ115339954 ScholiaQ115339954MaRDI QIDQ595920

José F. Cariñena, Arturo Ramos, Jesús Clemente-Gallardo

Publication date: 6 August 2004

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0307001

zbMATH Keywords

reductionWei-Norman methodDrift-free control systemsmotion in Lie groups and homogeneous spaces

Mathematics Subject Classification ID

Related Items (4)

Nonlinear superposition formulas for two classes of non-holonomic systems ⋮ Two-point problem for systems satisfying the controllability condition with Lie brackets of the second order ⋮ \(k\)-symplectic Lie systems: theory and applications ⋮ Revisiting parallel car parking problem

Cites Work

• Some physical applications of systems of differential equations admitting a superposition rule
• A new geometric approach to Lie systems and physical applications
• Nonholonomic motion planning: steering using sinusoids
• THE NONLINEAR SUPERPOSITION PRINCIPLE AND THE WEI-NORMAN METHOD
• INTEGRABILITY OF THE RICCATI EQUATION FROM A GROUP-THEORETICAL VIEWPOINT
• Lie Algebraic Solution of Linear Differential Equations
• On Global Representations of the Solutions of Linear Differential Equations as a Product of Exponentials
• Reduction of time-dependent systems admitting a superposition principle
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