On geometry of affine control systems with one input Conference Paper

abstract

• 2014, Springer International Publishing Switzerland. We demonstrate how the novel approach to the local geometry of structures of nonholonomic nature, originated by Andrei Agrachev, works for rank 2 distributions of maximal class in n with additional structures such as affine control systems with one input spanning these distributions, sub-(pseudo)Riemannian structures etc. In contrast to the case of an arbitrary rank 2 distribution without additional structures, in the considered cases each abnormal extremal (of the underlying rank 2 distribution) possesses a distinguished parametrization. This fact allows one to construct the canonical frame on a (2n3)-dimensional for arbitrary n 5. The moduli spaces of the most symmetric models are described as well.

authors

• Zelenko, Igor

published proceedings

• GEOMETRIC CONTROL THEORY AND SUB-RIEMANNIAN GEOMETRY

author list (cited authors)

• Doubrov, B., & Zelenko, I.

citation count

• 1

complete list of authors

• Doubrov, Boris||Zelenko, Igor

publication date

• January 2014

publisher

• Springer Nature  Publisher

published in

• Springer INdAM Series  Journal

Digital Object Identifier (DOI)

• 10.1007/978-3-319-02132-4_9

International Standard Book Number (ISBN) 13

• 978-3-319-02131-7

start page

• 133

end page

• 152

volume

• 4