Distributions and the Lie Algebras their Bases Can Generate

DOI10.2307/2048841zbMath0689.58004OpenAlexW4238368170MaRDI QIDQ3031661

Henry Hermes

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2048841

zbMATH Keywords

distributionsnilpotent Lie algebracontrol systemssolvable Lie algebra

Mathematics Subject Classification ID

Differential invariants (local theory), geometric objects (53A55) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items

Nilpotent bases for a class of nonintegrable distributions with applications to trajectory generation for nonholonomic systems, Geometrical and topological methods in optimal control theory

Cites Work

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• An Extension of a Theorem of Nagano on Transitive Lie Algebras
• Local Controllability and Sufficient Conditions in Singular Problems. II
• Invariants of Pfaffian Systems