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ЖУРНАЛЫ // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Архив

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2017, номер 3, страницы 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

Аннотация: 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.

Ключевые слова и фразы: invariant control system, feedback equivalence, Lie group.

MSC: 93B27, 22E60

Поступила в редакцию: 22.04.2017

Язык публикации: английский



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