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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https://hal.inria.fr/inria-00074361
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Submitted on : Wednesday, May 24, 2006 - 3:09:00 PM
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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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