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

Journal article
Authors Milena Anguelova
Bernt Wennberg
Published in Automatica
Volume 44
Issue 5
Pages 1373-1378
ISSN 0005-1098
Publication year 2008
Published at Department of Mathematical Sciences, Mathematics
Pages 1373-1378
Language en
Keywords Identifiability, time delay, nonlinear systems, state elimination, input–output representation
Subject categories Optimization, systems theory


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.

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