A constructive generalised Goursat normal form

DOI10.1016/j.difgeo.2005.12.001zbMath1101.58002arXivmath/0404377OpenAlexW1996401628WikidataQ115357882 ScholiaQ115357882MaRDI QIDQ2507685

Peter J. Vassiliou

Publication date: 5 October 2006

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404377

zbMATH Keywords

nonlinear controlGoursat normal formlocal equivalencecontact distributionderived typepartial prolongation

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Exterior differential systems (Cartan theory) (58A15) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (6)

A solvable string on a Lorentzian surface ⋮ Symmetries of special 2-flags ⋮ Geometry of cascade feedback linearizable control systems ⋮ Cascade linearization of invariant control systems ⋮ Method for Solving the Multidimensional n-Wave Resonant Equations and Geometry of Generalized Darboux-Manakov-Zakharov Systems ⋮ Symmetry Reduction, Contact Geometry, and Partial Feedback Linearization

Cites Work

• Geometrization of jet bundles
• Efficient construction of contact coordinates for partial prolongations
• Extended goursat normal form: a geometric characterization
• The GS algorithm for exact linearization to Brunovsky normal form
• Multi-flag systems and ordinary differential equations
• A linear algebraic framework for dynamic feedback linearization
• Contact systems and corank one involutive subdistributions
• Unnamed Item
• Unnamed Item

This page was built for publication: A constructive generalised Goursat normal form