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Hermann, Robert

The geometric theory of deformation and linearization of Pfaffian systems and its applications to system theory and mathematical physics. (English) Zbl 0531.58002

J. Math. Phys. 24, 2268-2276 (1983).
This paper is the first in a series of articles with the main purpose to adapt the pure mathematical literature in the theory of deformations of geometric structures and pseudogroups to the needs of applications with the emphasis on the theory of deformations of Pfaffian systems. Here the input-output systems are under consideration. The abstract algebraic structure which seems to underline the theory of Pfaffian systems is presented (the author calls it the Cartan-Vessiot filtrations of Lie algebras). The paper also includes some preliminary notions.
Reviewer: J.Gliklich

Cited in 3 Documents

MSC:

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

Keywords:

input-output systems; pseudogroups; Cartan-Vessiot filtrations of Lie algebras
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Full Text: DOI

References:

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