- Tytuł:
- A differential geometric setting for dynamic equivalence and dynamic linearization
- Autorzy:
- Pomet, Jean-Baptiste
- Powiązania:
- https://bibliotekanauki.pl/articles/1359678.pdf
- Data publikacji:
- 1995
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
flat systems
infinite jet bundles
Dynamic feedback equivalence
dynamic feedback linearization
Lie-Bäcklund transformations
contact transformations - Opis:
- 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.
- Źródło:
-
Banach Center Publications; 1995, 32, 1; 319-339
0137-6934 - Pojawia się w:
- Banach Center Publications
- Dostawca treści:
- Biblioteka Nauki
Artykuł