Input-output identifiability of continuous-time linear systems

Authors:
K. J. Harrison;J. R. Partington;J. A. Ward
Affiliations:
School of Mathematical and Physical Sciences, Division of Science, Murdoch University, Murdoch, Western Australia 6150, Australia;School of Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom;School of Mathematical and Physical Sciences, Division of Science, Murdoch University, Murdoch, Western Australia 6150, Australia
Venue:
Journal of Complexity
Year:
2002

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Abstract

In time-domain identification of linear systems the aim is to estimate the impulse response or transfer function of a linear system to within a given tolerance using a finite number of noisy observations of the output. Whether this is possible depends on the model set, that is, a given set to which the system is assumed to belong a priori. We give necessary and sufficient conditions on the model set to ensure that such identification is possible in the continuous-time case.