Corps de Hardy et observateurs asymptotiques locaux pour systèmes différentiellement plats

Resume On propose un observateur asymptotique local autour d'une trajectoire desiree, pour des systemes non lineaires differentiellement plats. En faisant l'hypothese, souvent verifiee en pratique, que les variables du systeme appartiennent a un meme corps de Hardy, dont l'exponentielle est la plus grande classe de comparabilite, on assure la convergence exponentielle de cet observateur grâce a un gain programme qui place les valeurs propres. On aborde un exemple de reacteur chimique.

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