Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2933

 Title: Global Asymptotic Stability of a Functional Differential Model with Time Delay of an Anaerobic Biodegradation Process Authors: Borisov, MilenDimitrova, NeliKrastanov, Mikhail Keywords: Bioreactor ModelDiscrete DelaysGlobal StabilityExtremum Seeking Issue Date: 2017 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Journal of Computing, Vol. 11, No 1, (2017), 009p-029p Abstract: 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. URI: http://hdl.handle.net/10525/2933 ISSN: 1312-6555 Appears in Collections: Volume 11 Number 1

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