Identifiability of State Space Models

with applications to transformation systems

E. Walter (Autor)

Buch | Softcover

216 Seiten

1982 | 1. Softcover reprint of the original 1st ed. 1982
Springer Berlin (Verlag)
978-3-540-11590-8 (ISBN)

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It is the objective of Science to formalize the relationships between observed quantities. The motivations of such a modelling procedure are varied, but can rougnly be collected around two pOles. If one is concerned with process control, one wants to find a model which wl11 De aDle to predlct tne process Denavlor, taKlng lnto account tne applled lnputs. The model will then be evaluated on it5 ability to mimic the ob5e~ved input-output behavior under c:onditione; ae; vari"d ae; po

1. Transformation Systems.- 1.1 Introduction.- 1.2 Formalism.- 1.3 An example: nonlinear chemical kinetics.- 1.4 Specific problems of transformation system modelling.- 1.5 Conclusion.- 2. Structural Properties and Main Approaches to Checking Them.- 2.1 Introduction.- 2.2 Definitions.- 2.3 Practical methods for checking structural observability and structural controllability of linear models.- 2.4 Main approaches to structural identifiability.- 2.5 Conclusion.- 3. Local Identifiability.- 3.1 Introduction.- 3.2 Methods.- 3.3 Linear models.- 3.4 Computer aided design of models.- 3.5 Implementation for linear transformation systems.- 3.6 Conclusion.- 4. Global Identifiability of Linear Models.- 4.1 Introduction.- 4.2 Properties of the transition matrix.- 4.3 Parametrization of the transition matrix.- 4.4 Application to checking s.g. identifiability.- 4.5 Conclusion.- 5. Exhaustive Modelling for Linear Models.- 5.1 Introduction.- 5.2 Class of the studied models.- 5.3 The matrices B and C are known.- 5.4 The matrices B and C are partially unknown.- 5.5 Connections with Kalman's canonical form.- 5.6 Applications of exhaustive modelling.- 5.7 Conclusion.- 6. Examples.- 6.1 Introduction.- 6.2 Chemotherapeutic model.- 6.3 Hepatobiliary kinetics of B.S.P..- 6.4 Metabolism of iodine.- 6.5 Systemic distribution of Vincamine.- 6.6 Conclusion.- 7. Global Identifiability of Nonlinear Models.- 7.1 Introduction.- 7.2 Series expansion approach.- 7.3 Linearization approach.- 7.4 Conclusion.- Conclusion.- References.

Erscheint lt. Verlag	1.9.1982
Reihe/Serie	Lecture Notes in Biomathematics
Zusatzinfo	216 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	313 g
Themenwelt	Informatik ► Weitere Themen ► Bioinformatik
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	algorithms • Biologisch-mathematisches Modell • Identifikationsverfahren • linear optimization • Optimization • space • Zustandsraum
ISBN-10	3-540-11590-0 / 3540115900
ISBN-13	978-3-540-11590-8 / 9783540115908
Zustand	Neuware