A Group-Theoretical Approach to Parameter Identifiability of Distributed-Parameter Systems
Sprache des Vortragstitels:
Englisch
Original Kurzfassung:
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.
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