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Reports Year : 1994

A Differential Geometric Setting for Dynamic Equivalence and Dynamic Linearization

Abstract

This paper presents an (infinite dimensional) geometric framework for control system, 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.
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Dates and versions

inria-00074361 , version 1 (24-05-2006)

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  • HAL Id : inria-00074361 , version 1

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Jean-Baptiste Pomet. A Differential Geometric Setting for Dynamic Equivalence and Dynamic Linearization. RR-2312, INRIA. 1994. ⟨inria-00074361⟩
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