On a computationally simple form of the generalized Campbell--Baker-Hausdorff-Dynkin formula

DOI10.1016/S0167-6911(98)00021-8zbMath0909.93021OpenAlexW2097312432MaRDI QIDQ1274253

Ignacy Dulȩba

Publication date: 12 January 1999

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6911(98)00021-8

zbMATH Keywords

Lie algebranonholonomic systemsnonautonomous differential equationsgeneralized Campbell-Baker-Hausdorff-Dynkin formulaPh. Hall basis

Mathematics Subject Classification ID

Related Items (4)

Layer, Lie algebraic method of motion planning for nonholonomic systems ⋮ Lie algebras associated with the exponential solutions of nonautonomous linear differential equations ⋮ Pre-control form of the generalized Campbell-Baker-Hausdorff-Dynkin formula for affine nonholonomic systems ⋮ A combinatorial approach to the generalized Baker-Campbell-Hausdorff-Dynkin formula

Cites Work

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• The Campbell-Baker-Hausdorff-Dynkin formula and solutions of differential equations
• Nonholonomic motion planning: steering using sinusoids
• On the Synthesis of a Stabilizing Feedback Control via Lie Algebraic Methods
• Lie Algebras of Vector Fields and Local Approximation of Attainable Sets
• Near-optimal nonholonomic motion planning for a system of coupled rigid bodies
• Locally optimal motion planning of nonholonomic systems

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