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
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;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1583044
