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ArticleOriginal scientific text

Title

A differential geometric setting for dynamic equivalence and dynamic linearization

Authors 1

Affiliations

  1. I.N.R.I.A., 2004 Route des Lucioles, B.P. 93, 06902 Sophia Antipolis, France

Abstract

This paper presents an (infinite-dimensional) geometric framework for control systems, based on infinite jet bundles, where a system is represented by a single vector field and dynamic equivalence (to be precise: equivalence by endogenous dynamic feedback) is conjugation by diffeomorphisms. These diffeomorphisms are very much related to Lie-Bäcklund transformations. It is proved in this framework that dynamic equivalence of single-input systems is the same as static equivalence.

Keywords

ENG
flat systems, infinite jet bundles, Dynamic feedback equivalence, dynamic feedback linearization, Lie-Bäcklund transformations, contact transformations

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Banach Center Publications
1995/32/1
Export to PBN, Opens in new tab
Pages:
319-339
Main language of publication
English
Published
1995
Exact and natural sciences