Global Asymptotic Stability of a Functional Differential Model with Time Delay of an Anaerobic Biodegradation Process

Borisov, Milen, Dimitrova, Neli, and Krastanov, Mikhail. "Global Asymptotic Stability of a Functional Differential Model with Time Delay of an Anaerobic Biodegradation Process." Serdica Journal of Computing 11.1 (2017): 009-029. <http://eudml.org/doc/289525>.

@article{Borisov2017,
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.},
author = {Borisov, Milen, Dimitrova, Neli, Krastanov, Mikhail},
journal = {Serdica Journal of Computing},
keywords = {Bioreactor Model; Discrete Delays; Global Stability; Extremum Seeking},
language = {eng},
number = {1},
pages = {009-029},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Global Asymptotic Stability of a Functional Differential Model with Time Delay of an Anaerobic Biodegradation Process},
url = {http://eudml.org/doc/289525},
volume = {11},
year = {2017},
}

TY - JOUR
AU - Borisov, Milen
AU - Dimitrova, Neli
AU - Krastanov, Mikhail
TI - Global Asymptotic Stability of a Functional Differential Model with Time Delay of an Anaerobic Biodegradation Process
JO - Serdica Journal of Computing
PY - 2017
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 11
IS - 1
SP - 009
EP - 029
AB - 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.
LA - eng
KW - Bioreactor Model; Discrete Delays; Global Stability; Extremum Seeking
UR - http://eudml.org/doc/289525
ER -