Manifolds, tensor analysis, and applications: 2nd edition
Manifolds, tensor analysis, and applications: 2nd edition
On global identifiability for arbitrary model parametrizations
Automatica (Journal of IFAC)
Technical Communique: Some Remarks about an Identifiability Result of Nonlinear Systems
Automatica (Journal of IFAC)
Brief paper: Structural identifiability analysis via symmetries of differential equations
Automatica (Journal of IFAC)
Adaptive observers and parameter estimation for a class of systems nonlinear in the parameters
Automatica (Journal of IFAC)
Identifiable reparametrizations of linear compartment models
Journal of Symbolic Computation
| Hi-index | 22.15 |
The problem of parameter identifiability has been considered from different points of view in the case of nonlinear dynamical systems. For analytic systems the standard approach for uncontrolled systems is the Taylor series approach (Pohjanpalo, Math. Biosciences 41 (1978) 21), or the approaches based on differential algebra for polynomial and rational systems. The similarity transformation approach, based on the local state isomorphism theorem, gives a sufficient and necessary condition for global identifiability of nonlinear controlled systems. But it leads only to a necessary condition for identifiability in the case of some uncontrolled systems. Our contribution consists in using the equivalence of systems, based on the straightening out theorem, to analyse the identifiability of uncontrolled systems. From this theory, we state the necessary or sufficient identifiability conditions, some of them depending on the state variable dimension.