Résumé
Nous proposons dans les cas linéaire ou non des formules explicites pour calculer le rang différentiel de sortie. Nous utilisons une généralisation à l’algèbre différentielle des polynômes de Hilbert-Serre, classiques en théorie de la dimension, due à E.R. Kolchin et J. Johnson. Nous comparons nos résultats à diverses approches précédentes.
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© 1991 Birkhäuser Boston
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El Asmi, S., Fliess, M. (1991). Formules d’inversion. In: Bonnard, B., Bride, B., Gauthier, JP., Kupka, I. (eds) Analysis of Controlled Dynamical Systems. Progress in Systems and Control Theory, vol 8. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-3214-8_17
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DOI: https://doi.org/10.1007/978-1-4612-3214-8_17
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