As far as I know, Duhesme published Précis historique de l'infanterie légère in 1806. Although not entirely the same as Essai sur l'infanterie légère, their contents are similar in many aspects.
Précis historique: https://books.google.com/books?id=1-lfAAAAcAAJ

Interestingly, in the 'préface de l'éditeur' of 'Précis historique de l'infanterie légère', the editor said the work titled 'Essai historique'.