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A priori parameter identifiability in models with non-rational functions
Published in Elsevier Ltd
2019
Volume: 109
   
Abstract
Differential algebra based approaches are used to study a priori parameter identifiability of nonlinear systems with polynomial or rational functional forms. However, these methods cannot be applied to state-space models which have non-rational functions (e.g., exponential, sinusoidal etc.) of state variables. In this paper, we propose a method to test identifiability for systems with non-rational functions using Padé and power series approximations and differential algebra. In particular, for a certain class of systems, we show that if the approximation of a certain order is used and the resulting system is identifiable, then higher order approximations will also result in identifiable systems. The proposed approach is illustrated using a non-isothermal reaction system. © 2019 Elsevier Ltd
About the journal
JournalData powered by TypesetAutomatica
PublisherData powered by TypesetElsevier Ltd
ISSN00051098
Open AccessNo
Concepts (12)
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    Algebra
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    Differential equations
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    State space methods
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    DIFFERENTIAL ALGEBRAS
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    Higher-order approximation
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    IDENTIFIABILITY
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    NONISOTHERMAL REACTIONS
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    PARAMETER IDENTIFIABILITY
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    POWER SERIES
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    Reaction network
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    State - space models
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    Rational functions