Identifiability of homogeneous systems using the state isomorphism approach
Different aspects of indistinguishability of control systems are studied. On the whole the authors study the class of homogeneous systems, for which, under certain conditions, the local state isomorphism for a pair of indistinguishable parameter vectors is shown to be homogeneous of degree one. For homogeneous polynomial systems, conditions are given under which the local state isomorphism becomes linear. Here, the issue of whether or not the observability rank condition holds at the origin is shown to be of key importance. The scope of the results is discussed and illustrated by a number of worked examples. This demonstrates how the developed theory can be used to investigate global identifiability properties of parameterized model classes.
scientific article; zbMATH DE number 2167427
scientific article