Geodesic
Global Asymptotic Stability of a Functional Differential Model with Time Delay of an Anaerobic Biodegradation Process
Serdica Journal of Computing, Tome 11 (2017) no. 1, pp. 009-029.

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We study a nonlinear functional differential model of an anaerobic digestion process of wastewater treatment with biogas production. The model equations of biomass include two different discrete time delays. A mathematical analysis of the model is completed including existence and local stability of nontrivial equilibrium points, existence and boundedness of the model solutions as well as global stabilizability towards an admissible equilibrium point. We propose and apply a numerical extremum seeking algorithm for maximizing the biogas flow rate in real time. Numerical simulation results are also included. ACM Computing Classification System (1998): D.2.6, G.1.10, J.2.
Keywords: Bioreactor Model, Discrete Delays, Global Stability, Extremum Seeking 
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Borisov, Milen; Dimitrova, Neli; Krastanov, Mikhail. Global Asymptotic Stability of a Functional Differential Model with Time Delay of an Anaerobic Biodegradation Process. Serdica Journal of Computing, Tome 11 (2017) no. 1, pp. 009-029. http://geodesic.mathdoc.fr/item/SJC_2017_11_1_a1/