Identifikace bilineárních systémů

Kršková, Iveta

Title: Identification of bilinear systems Author: Iveta Kršková Department: Department of Applied Mathematics Supervisor: Mgr. Martin Mareš, Ph.D., Department of Applied Mathematics Abstract: In this thesis, the identification of systems with bilinear structure is studied. The main focus lies in the identification of chemical reaction networks with a biological background. The identification of such systems is extremely useful. Once the model of such a system is obtained it can be used for the purposes of control of the processes in the human body. In order to properly perform such a complex process as the system identification is, the properties of linear and bilinear dynamical systems regarding the identification procedure are studied. The suitability of bilinear systems for modelling chemical reaction networks is discussed. Several approaches used for the estimation of parameters are reviewed. The identification procedure suggested by Juang is implemented and extensively studied on the example of peptide chain elongation. How to choose the parameters for the system identification procedure of a bilinear system is illustrated for the latter example. The conclusions about the gained experience with Juang's identification procedure are stated. 1

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