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On the Geometry of Goursat Structures

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Publication:2701824
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DOI10.1051/COCV:2001106zbMath0966.58002arXivmath/9911101OpenAlexW2155427989MaRDI QIDQ2701824

William Pasillas-Lépine, Witold Respondek

Publication date: 1 March 2001

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9911101


zbMATH Keywords

abnormal curvesnonholonomic control systemsKumpera-Ruiz normal formstrailer systems


Mathematics Subject Classification ID

Pfaffian systems (58A17) Vector distributions (subbundles of the tangent bundles) (58A30) Implicit function theorems; global Newton methods on manifolds (58C15)


Related Items (4)

The geometry, controllability, and flatness property of then-bar system ⋮ Geometric classes of Goursat flags and the arithmetics of their encoding by small growth vectors ⋮ Singularities of holonomic and non-holonomic robotic systems: a normal form approach ⋮ Multi-input control-affine systems static feedback equivalent to a triangular form and their flatness







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