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A State-space Realization Approach to Set Identification of Biochemical Kinetic Parameters
Abstract This paper proposes a set-based parameter …
This paper proposes a set-based parameter identi- fication method for biochemical systems. The developed method identifies not a single parameter but a set of parameters that all explains time-series experimental data, enabling the systematic characterization of the uncertainty of identified parameters. Our key idea is to use a state-space realization that has the same input-output behavior as experimental data instead of the experimental data itself for the identification. This allows us to relax the originally nonlinear identification problem to an LMI feasibility problem validating the norm bound of an error system. We show that regions of parameters can be efficiently classified into consistent and inconsistent parameter sets by combining the LMI feasibility problems and a generalized bisection algorithm.
ems and a generalized bisection algorithm.  +
Authors Yutaka Hori and Richard M. Murray  +
Funding Biomolecular Breadboards for Prototyping and Debugging Synthetic Biocircuits +
ID 2014k  +
Source 2015 European Control Conference (ECC)  +
Tag hm15-ecc  +
Title A State-space Realization Approach to Set Identification of Biochemical Kinetic Parameters +
Type Conference Paper  +
Categories Papers
Modification date
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15 May 2016 06:14:39  +
URL
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http://www.cds.caltech.edu/~murray/preprints/hm15-ecc.pdf  +
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A State-space Realization Approach to Set Identification of Biochemical Kinetic Parameters + Title
 

 

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