Local geometric control of a certain mechanism with the growth vector \((4,7)\) (Q2174253)
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| Language | Label | Description | Also known as |
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| English | Local geometric control of a certain mechanism with the growth vector \((4,7)\) |
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Local geometric control of a certain mechanism with the growth vector \((4,7)\) (English)
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21 April 2020
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The authors study the local control of a mechanism with the growth vector \((4, 7)\). They investigate the controllability and the extremal trajectories of the nilpotent approximation as an example of the control theory on a Lie group. Then the authors provide solutions to the system and show examples of local extremal trajectories.
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local control
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sub-Riemannian geometry
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Pontryagin's maximum principle
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nilpotent Lie group
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