Nilpotent bases for distributions and control systems

DOI10.1016/0022-0396(84)90076-7zbMath0507.58007OpenAlexW2088590289MaRDI QIDQ1837448

Henry Hermes, Dennis Sullivan, Albert T. Lundell

Publication date: 1984

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(84)90076-7

zbMATH Keywords

nonlinear control systemDarboux's theoremnilpotent algebra of vector fields

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Transformations (93B17) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items

Distributions and the Lie Algebras their Bases Can Generate, Distributions having bases which generate finite dimensional Lie algebras, Solving nonlinear equations from higher order derivations in linear stages, Models for free nilpotent Lie algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Control systems which generate decomposable Lie algebras
• Linear differential systems with singularities and an application to transitive Lie algebras
• Lie Brackets and Local Controllability: A Sufficient Condition for Scalar-Input Systems
• Global transformations of nonlinear systems
• An Extension of a Theorem of Nagano on Transitive Lie Algebras
• On the Equivalence of Control Systems and the Linearization of Nonlinear Systems