Biggs, RoryRemsing, Claudiu C.2018-07-022018-07-022017Rory Biggs, Claudiu C. Remsing, A note on the equivalence of control systems on Lie groups, Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, 2017, Volume 85, Number 3, 63–73.1024–7696http://hdl.handle.net/2263/65279We 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 lowdimensional Lie groups are discussed in some detail.en© Rory Biggs, Claudiu C.Remsing, 2017. Buletinul Academiei de Stiinte a Republicii Moldova. Matematica is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.Invariant control systemFeedback equivalenceLie groupArticle