A Drift-Free Left Invariant Control System on the Lie Group

Camelia Pop

Mathematical Problems in Engineering, 2015, vol. 2015, 1-9

Abstract:

A controllable drift-free system on the Lie group is considered. The dynamics and geometrical properties of the corresponding reduced Hamilton’s equations on are studied, where is the minus Lie-Poisson structure on the dual space of the Lie algebra of . The numerical integration of this system is also discussed.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:652819

DOI: 10.1155/2015/652819

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