Geodesic
On the class of non-linear control systems mapping onto linear systems
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2001) no. 2, pp. 205-214 Cet article a éte moissonné depuis la source Math-Net.Ru

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The control system in the form $\dot x=a(x)+b(x)u$, $x\in{\mathbf R}^n$, $u\in{\mathbf R}$, is considered. In the term of Lee brackets necessary and sufficient conditions of possibility to map of this control system (without change of a control) onto the system with additive control, in particular, onto the linear control system with respect to $x$ and $u$ are given. The conditions of local controllability of systems mapping onto linear system are formulated. 
@article{JMAG_2001_8_2_a7,
     author = {E. V. Sklyar},
     title = {On the class of non-linear control systems mapping onto linear systems},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {205--214},
     year = {2001},
     volume = {8},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2001_8_2_a7/}
}
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E. V. Sklyar. On the class of non-linear control systems mapping onto linear systems. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2001) no. 2, pp. 205-214. http://geodesic.mathdoc.fr/item/JMAG_2001_8_2_a7/