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IMA Journal of Mathematical Control and Information 2002 19(1 and 2):73-81; doi:10.1093/imamci/19.1_and_2.73
© 2002 by Institute of Mathematics and its Applications
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Identifiability analysis of linear delay-differential systems

L. Belkoura1 and Y. Orlov2

1 LAIL, Université des Sciences & Technologies de Lille, Bât P2, 59650, Villeneuve d'Ascq Cedex, France 2 CICESE Research Center, Electronics and Telecommunication Department, PO Box 434944 San Diego, CA 92143-4944, USA

In this paper, identification of linear delay-differential systems is studied. The components of the state are assumed to be available whereas system parameters including system and input delays are unknown. Such a system is shown to be identifiable if and only if it is weakly controllable. If the weak controllability condition is satisfied the corresponding identification problem admits a unique solution while a sufficiently rich system input is applied. Construction of sufficiently rich input signals independent of any underlying system completes the fully practical framework for parameter identifiability of linear delay differential systems.

Keywords: time delay systems; parameter identifiability; weak controllability; sufficiently rich output.


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