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IMI/Publicaţii/BASM/Ediţii/BASM n.3(85), 2017/

A Note on the Equivalence of Control Systems on Lie Groups

Authors: Rory Biggs, Claudiu C. Remsing

Abstract

We consider state space equivalence and (a specialization of) feedback equivalence in the context of left-invariant control affine systems. Simple algebraic characterizations of both local and global forms of these equivalence relations are obtained. Several illustrative examples regarding the classification of systems on low-dimensional Lie groups are discussed in some detail.

Rory Biggs
Department of Mathematics and Applied Mathematics
University of Pretoria
0083 Hartfield, South Africa
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Claudiu C.Remsing
Department of Mathematics
Rhodes University
6140 Grahamstown, South Africa
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