IMCS/Publications/BASM/Issues/BASM n.3(85), 2017/

A Note on the Equivalence of Control Systems on Lie Groups

Authors: Rory Biggs, Claudiu C. Remsing


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

Claudiu C.Remsing
Department of Mathematics
Rhodes University
6140 Grahamstown, South Africa


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