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Bul. Acad. Ştiinţe Repub. Mold. Mat., 2017, Number 3, Pages 63–73 (Mi basm456)  

A note on the equivalence of control systems on Lie groups

Rory Biggsa, Claudiu C. Remsingb

a Department of Mathematics and Applied Mathematics, University of Pretoria, 0083 Hartfield, South Africa
b Department of Mathematics, Rhodes University, 6140 Grahamstown, South Africa

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.

Keywords and phrases: invariant control system, feedback equivalence, Lie group.

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Document Type: Article
MSC: 93B27, 22E60
Received: 22.04.2017
Language: English

Citation: Rory Biggs, Claudiu C. Remsing, “A note on the equivalence of control systems on Lie groups”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2017, no. 3, 63–73

Citation in format AMSBIB
\Bibitem{BigRem17}
\by Rory~Biggs, Claudiu~C.~Remsing
\paper A note on the equivalence of control systems on Lie groups
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2017
\issue 3
\pages 63--73
\mathnet{http://mi.mathnet.ru/basm456}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3436680}


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