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Input-Output Representation and Identifiability of Delay Parameters for Nonlinear Systems with Multiple Time-Delays

Conference contribution
Authors Milena Anguelova
Bernt Wennberg
Published in Lecture Notes in Control and Information Sciences: TOPICS IN TIME DELAY SYSTEMS: ANALYSIS, ALGORITHMS AND CONTROL; 7th IFAC Workshop on Time Delay Systems
Volume 388
Pages 243-253
ISBN 978-3-642-02896-0
ISSN 0170-8643
Publication year 2009
Published at Department of Mathematical Sciences, Mathematics
Pages 243-253
Language en
Subject categories Mathematics


We have analyzed the identifiability of time-lag parameters in nonlinear delay systems using an algebraic framework. The identifiability is determined by the form of the system's input-output representation. The values of the time lags can be found directly from the input-output equations, if these can be obtained explicitly. Linear-algebraic criteria are formulated to decide the identifiability of the delay parameters when explicit computation of the input-output relations is not possible.

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