Existence, uniqueness and stability of the equilibrium points of a SHARON bioreactor model

Journal of Process Control

Volumn 16, Issue 10, 2006, Pages 1003-1012

  Volcke, E I P ^a   Loccufier, M ^a   Vanrolleghem, P A ^a   Noldus, E J L ^a  

^a GHENT UNIVERSITY   (Belgium)

Author keywords

Contraction mapping theorem; Equilibrium points; Stability analysis; Wastewater treatment

Indexed keywords

AMMONIUM COMPOUNDS; BIOMASS; CONFORMAL MAPPING; NITROGEN COMPOUNDS; STABILITY; THEOREM PROVING; WASTEWATER TREATMENT;

CONTRACTION MAPPING THEOREM; EQUILIBRIUM POINTS; NITRITES; STABILITY ANALYSIS;

BIOREACTORS;

EID: 33750337115     PISSN: 09591524     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jprocont.2006.08.004     Document Type: Article

References (6)

1. Hellinga C., Schellen A.A.J.C., Mulder J.W., van Loosdrecht M.C.M., and Heijnen J.J. The SHARON process: An innovative method for nitrogen removal from ammonium-rich wastewater. Water Sci. Technol. 37 9 (1998) 135-142
2. Hale J.K. Oscillations in Nonlinear Systems (1963), McGraw-Hill Book Company, Inc.
3. Jordan D.W., and Smith P. Nonlinear Ordinary Differential Equations (1977), Oxford University Press (Chapter 3: Geometrical and computational aspects of the phase diagram)
4. E.I.P. Volcke, Modelling, analysis and control of a partial nitritation in a SHARON reactor, PhD thesis, Ghent University, Belgium, pp. 300. Available from: .
5. Sbarciog M., Volcke E.I.P., Loccufier M., and Noldus E. Stability boundaries of a SHARON bioreactor model with multiple equilibrium points. Nonlinear Dyn. Syst. Theory 6 2 (2006) 191-203
6. E.I.P. Volcke, M. Sbarciog, M. Loccufier, P.A. Vanrolleghem, E.J.L. Noldus, Influence of microbial growth kinetics on steady state multiplicity and stability of a two-step nitrification (SHARON) model, Biotechnol. Bioeng., submitted for publication.