An efficient algorithm for testing nonlinear dynamical model identifiability

Lilianne Denis-Vidal (1) , Ghislaine Joly-Blanchard (1) , Céline Noiret (1)

1 LMAC - Laboratoire de Mathématiques Appliquées de Compiègne

This paper is concerned by the analysis of nonlinear controlled or uncontrolled dynamical model identifiability. The proposed approach is based on the construction of an input-output ideal. The aim is to develop an algorithm which gives identifiability results from this approach. Differential algebra theory allows realization of such a project. In order to state the algorithm, new results of differential algebra must be proved. Then the implementation is done in a symbolic computing language

Mots clés: Nonlinear dynamical systems; Structural identifiability; Symbolic manipulation

Domaines: Systèmes dynamiques [math.DS]

Lilianne Denis-Vidal, Ghislaine Joly-Blanchard, Céline Noiret. An efficient algorithm for testing nonlinear dynamical model identifiability. 2005. ⟨hal-00696660⟩