On the identifiability of bilinear systems

Ober, Raimund J., Lin, Zhiping and Zou, Qiyue (2005) On the identifiability of bilinear systems. In 2005 IEEE International Symposium on Circuits and Systems. IEEE. pp. 3769-3772 . (doi:10.1109/ISCAS.2005.1465450).

Record type: Conference or Workshop Item (Paper)

Abstract

Estimation of the unknown parameters that characterize a bilinear system is of primary importance in many applications. By introducing a novel concept of the derivative system for a given bilinear system, it is shown that the Fisher information matrix for a data set generated by a bilinear system with additive Gaussian measurement noise can be expressed explicitly in terms of the outputs of its derivative system which is also bilinear. A connection between the identifiability of the unknown parameters and the output reachability of the derivative system is established. For a bilinear system with a piecewise constant input and uniformly sampled output data, a trackable condition is derived for local identifiability.

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