Necessary and sufficient conditions for the identifiability of isolated loops

Abstract

This Letter provides necessary and sufficient conditions on the excitation and measurement pattern (EMP) that guarantee identifiability of a dynamical network that has the structure of a loop. The conditions are extremely simple in their formulation, and they can be checked by visual inspection. They allow one to easily characterize all EMPs that make the loop network identifiable.

This work has been submitted to the IEEE for possible publication. Submitted to IEEE Control Systems Letters