A Group-Theoretical Approach to Parameter Identifiability of Distributed-Parameter Systems

Description

The contribution is devoted to the (output) identifiability problem for the class of (nonlinear) distributed-parameter systems described by partial differential equations. In particular, we discuss the (local) identifiability of parameters along a fixed trajectory. The analysis relies on an intrinsic geometric representative for systems, including boundary conditions and system outputs. We motivate an approach by (pointwise Lie) transformation groups, whose success depends on a considerable extent to the accompanying boundary conditions and boundary outputs for distributed-parameter systems. It is shown that different (local) conditions can be derived by using an infinitesimal criterion for invariance, where the (non-)identifiability of parameters is related to the (non-)existence of generators of such groups.

Period	25 Mar 2010
Event title	unbekannt/unknown
Event type	Conference
Location	GermanyShow on map