Brief paper: State elimination and identifiability of the delay parameter for nonlinear time-delay systems

Authors:
Milena Anguelova;Bernt Wennberg
Affiliations:
Mathematical Sciences, Chalmers University of Technology, SE-412 96 Gothenburg, Sweden and Mathematical Sciences, Göteborg University, SE-412 96 Gothenburg, Sweden;Mathematical Sciences, Chalmers University of Technology, SE-412 96 Gothenburg, Sweden and Mathematical Sciences, Göteborg University, SE-412 96 Gothenburg, Sweden
Venue:
Automatica (Journal of IFAC)
Year:
2008

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Abstract

The identifiability of the delay parameter for nonlinear systems with a single constant time delay is analyzed. We show the existence of input-output equations and relate the identifiability of the delay parameter to their form. Explicit criteria based on rank calculations are formulated. The identifiability of the delay parameter is shown not to be directly related to the well-characterized identifiability/observability of the other system parameters/states.