A Note on the Equivalence of Control Systems on Lie Groups
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2018-02-12 09:34
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512.554.3+512.81 (3)
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BIGGS, Rory, REMSING, Claudiu C.. A Note on the Equivalence of Control Systems on Lie Groups. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, nr. 3(85), pp. 63-73. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 3(85) / 2017 / ISSN 1024-7696 /ISSNe 2587-4322

A Note on the Equivalence of Control Systems on Lie Groups

CZU: 512.554.3+512.81
MSC 2010: 93B27, 22E60.

Pag. 63-73

Biggs Rory1, Remsing Claudiu C.2
 
1 University of Pretoria,
2 Rhodes University
 
Disponibil în IBN: 10 februarie 2018


Rezumat

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 lowdimensional Lie groups are discussed in some detail.

Cuvinte-cheie
nvariant control system, feedback equivalence, Lie group.