Motion representations for the Lafferriere-Sussmann algorithm for nilpotent control systems

Ignacy Dulęba; Jacek Jagodziński

Displaying similar documents to “Motion representations for the Lafferriere-Sussmann algorithm for nilpotent control systems”

On the Nilpotent representations of GLn (O).

Gregory Hill (1994)

Manuscripta mathematica

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Unified computational approach to nilpotent algebra classification problems

Shirali Kadyrov, Farukh Mashurov (2021)

Communications in Mathematics

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In this article, we provide an algorithm with Wolfram Mathematica code that gives a unified computational power in classification of finite dimensional nilpotent algebras using Skjelbred-Sund method. To illustrate the code, we obtain new finite dimensional Moufang algebras.

Motion planning and feedback control for a unicycle in a way point following task: The VFO approach

Maciej Michałek, Krzysztof Kozłowski (2009)

International Journal of Applied Mathematics and Computer Science

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This paper is devoted to the way point following motion task of a unicycle where the motion planning and the closed-loop motion realization stage are considered. The way point following task is determined by the user-defined sequence of waypoints which have to be passed by the unicycle with the assumed finite precision. This sequence will take the vehicle from the initial state to the target state in finite time. The motion planning strategy proposed in the paper does not involve any...

Computer search for nilpotent complexes.

Lewis, Robert H., Moore, Guy D. (1997)

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Computational algorithms for deciding some problems for nilpotent groups

A. Mostowski (1966)

Fundamenta Mathematicae

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Disintegration of monomial representations of nilpotent Lie groups. (Désintégration des représentations monomiales des groupes de Lie nilpotents.)

Baklouti, A., Ludwig, J. (1999)

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Nilpotent approximation of a trident snake robot controlling distribution

Jaroslav Hrdina, Radomil Matoušek, Aleš Návrat, Petr Vašík (2017)

Kybernetika

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We construct a privileged system of coordinates with respect to the controlling distribution of a trident snake robot and, furthermore, we construct a nilpotent approximation with respect to the given filtration. Note that all constructions are local in the neighbourhood of a particular point. We compare the motions corresponding to the Lie bracket of the original controlling vector fields and their nilpotent approximation.