This article is cited in 3 papers

On the class of non-linear control systems mapping onto linear systems

E. V. Sklyar

Institute of Mathematics, Szczecin University, Wielkopolska str., 15, Szczecin, 70451 Poland

Abstract: 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.

MSC: 93C10

Received: 30.03.2001

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