ABSTRACT
The parameter identification issue can be formulated mathematically as the
one-to-one property of mapping from the space of system outputs to the space
of parameters. Such a mapping is generally known as an inverse problem, in
contradistinction with the forward mapping, which maps the space of param-
eters to the space of outputs. The notion of identifiability addresses the issue
of obtaining unique solutions of the inverse problem for unknown parameters
of interest in a mathematical model, from data collected in the spatial and
temporal domains. A working definition of identifiability is as follows: “An un-
known parameter is ‘identifiable’ if it can be determined uniquely in all points
of its domain by using the input-output relation of the system and the input-
output data.” The uniqueness of inverse mappings is difficult to establish.
