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Approximate linearization by state feedback and coordinate change. (English) Zbl 0555.93027

Necessary and sufficient conditions in terms of Lie brackets are derived for the existence of transformations \(x=x(\xi)\), \(u=\alpha (\xi)+\beta (\xi)\mu\) which transform the system \({\dot \xi}=g^ 0(\xi)+g(\xi)\mu\) to the system \(\dot x=Ax+Bu+O(\xi,\mu)^{p+1}\).
Reviewer: P.Brunovsky

MSC:

93C10 Nonlinear systems in control theory
93B17 Transformations
17B05 Structure theory for Lie algebras and superalgebras
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