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In this paper, an original result in terms of a sufficient condition to testidentifiability of nonlinear delayed-differential models with constant delaysand multi-inputs is given. The identifiability is studied for the linearizedsystem and a criterion for linear systems with constant delays is provided,from which the identifiability of the original nonlinear system can be proved.This result is obtained by combining a classical identifiability result fornonlinear ordinary differential systems due to M.S. Grewal and K. Glover (1976)with the identifiability of linear delayed-differential models developed by Y.Orlov et al. (2002). This paper is a generalization of the results provided byL. Denis-Vidal, C. Jauberthie, G. Joly-Blanchard (2006), which deal with thespecific case of nonlinear delayed-differential models with two delays and asingle input.

A sufficient condition to test identifiability of a nonlinear delayed-differential model with constant delays and multi-inputs