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Parameter identifiability of differential delay equations
Author(s) -
Verduyn Lunel Sjoerd M.
Publication year - 2001
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.690
Subject(s) - identifiability , bounded function , mathematics , delay differential equation , distributed parameter system , differential (mechanical device) , differential equation , operator (biology) , dynamical systems theory , computer science , mathematical analysis , statistics , physics , biochemistry , chemistry , repressor , quantum mechanics , gene , transcription factor , thermodynamics
Parameter identifiability is concerned with the question whether the parameters of a specific model can be identified from knowledge about certain solutions of the model, assuming perfect data. In this paper we shall consider conditions for identifiability of parameters and time delays in infinite dimensional dynamical systems, described by linear differential delay equations, assuming knowledge of particular solutions on bounded time intervals. We shall show how methods from operator theory can be exploited to give necessary and sufficient conditions which guarantee that the inverse problem has a unique solution. Copyright © 2001 John Wiley & Sons, Ltd.