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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Contact Geometry and Its Application to Control
verfasst von : Peter J. Vassiliou
Erschienen in: Advances in the Theory of Control, Signals and Systems with Physical Modeling
Verlag: Springer Berlin Heidelberg
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The purpose of this note is to describe a recent generalisation of the well-known Goursat normal form and explore its possible role in control theory. For instance, we give a new, straightforward, general procedure for linearising nonlinear control systems, including time-varying, fully nonlinear systems and we illustrate the method by elementary pedagogical examples. We also exhibit an apparently non-flat control system which can nevertheless be explicitly linearised and therefore posseses an infinite symmetry group.