The geometric theory of deformation and linearization of Pfaffian systems and its applications to system theory and mathematical physics. I

DOI10.1063/1.525973zbMath0531.58002OpenAlexW2015464630MaRDI QIDQ3312965

Robert Hermann

Publication date: 1983

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525973

zbMATH Keywords

pseudogroupsinput-output systemsCartan-Vessiot filtrations of Lie algebras

Mathematics Subject Classification ID

Pfaffian systems (58A17) Deformations of general structures on manifolds (58H15) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (3)

Invariants for feedback equivalence and Cauchy characteristic multifoliations of nonlinear control systems ⋮ Perturbation theory for nonlinear feedback control systems and Spencer- Goldschmidt integrability of linear partial differential equations ⋮ Nonlinear feedback control and systems of partial differential equations

Cites Work

• On feedback equivalence of nonlinear systems
• Linearization of analytic vector fields in the transitive case
• Deformation of structures on manifolds defined by transitive, continuous pseudogroups. I: Infinitesimal deformations of structure. II: Deformations of structure
• Analytic continuation of group representations. I - III
• Feedback invariants of linear multivariable systems
• On the Structure of Local Homeomorphisms of Euclidean n-Space, II
• The theory of equivalence of Pfaffian systems and input systems under feedback
• Deformations of homomorphisms of Lie groups and Lie algebras
• On the Equivalence of Control Systems and the Linearization of Nonlinear Systems
• Equivalence and Decomposition of Vector Fields About an Elementary Critical Point
• On the Contraction of Groups and Their Representations

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