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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, номер 3, страницы 63–73
(Mi basm456)
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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.
Поступила в редакцию: 22.04.2017
Образец цитирования:
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
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm456 https://www.mathnet.ru/rus/basm/y2017/i3/p63
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