DocumentCode
3121946
Title
Convergence and Stability of Biochemical Reaction Systems of Rank One
Author
Sbarciog, Mihaela ; Loccufier, Mia ; Noldus, Erik
Author_Institution
Department of Electrical Energy, Systems and Automation, Ghent University, Technologiepark 913, B-9052 Ghent, Belgium Phone: 32-(0)9-264 5584, Fax: 32-(0)9-264 5839, E-mail: mihaela@autoctrl.UGent.be
fYear
2005
fDate
12-15 Dec. 2005
Firstpage
5540
Lastpage
5545
Abstract
The dynamics of biochemical reaction systems of rank one are studied. The global convergence of the set of equilibrium points is investigated and the local stability properties of the equilibria are analysed. The problem of stability boundary estimation is addressed and an algorithm for the visualization of the boundaries is proposed. The theoretical results and the effectiveness of the proposed algorithms are verified by two examples.
Keywords
Automation; Biochemistry; Convergence; Effluents; Inductors; Microorganisms; Stability analysis; Visualization;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN
0-7803-9567-0
Type
conf
DOI
10.1109/CDC.2005.1583044
Filename
1583044
Link To Document