Geodesic
A note on the equivalence of control systems on Lie groups
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2017), pp. 63-73

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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. 
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     author = {Rory Biggs and Claudiu C. Remsing},
     title = {A note on the equivalence of control systems on {Lie} groups},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {63--73},
     publisher = {mathdoc},
     number = {3},
     year = {2017},
     language = {en},
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}
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Rory Biggs; Claudiu C. Remsing. A note on the equivalence of control systems on Lie groups. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2017), pp. 63-73. http://geodesic.mathdoc.fr/item/BASM_2017_3_a4/