| Title: | Control Systems on the Orthogonal Group SO(4) (English) | 
| Author: | Adams, Ross M. | 
| Author: | Biggs, Rory | 
| Author: | Remsing, Claudiu C. | 
| Language: | English | 
| Journal: | Communications in Mathematics | 
| ISSN: | 1804-1388 | 
| Volume: | 21 | 
| Issue: | 2 | 
| Year: | 2013 | 
| Pages: | 107-128 | 
| Summary lang: | English | 
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| Category: | math | 
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| Summary: | We classify the left-invariant control affine systems evolving on the orthogonal group $SO(4)$. The equivalence relation under consideration is detached feedback equivalence. Each possible number of inputs is considered; both the homogeneous and inhomogeneous systems are covered. A complete list of class representatives is identified and controllability of each representative system is determined. (English) | 
| Keyword: | left-invariant control system | 
| Keyword: | detached feedback equivalence | 
| Keyword: | orthogonal group | 
| MSC: | 22E60 | 
| MSC: | 93B05 | 
| MSC: | 93B17 | 
| MSC: | 93B27 | 
| idZBL: | Zbl 1287.93021 | 
| idMR: | MR3159284 | 
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| Date available: | 2014-01-27T12:41:12Z | 
| Last updated: | 2014-07-30 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/143585 | 
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