Scientific publications

А.Н. Кириллов, И.В. Данилова.

Динамика процесса биоочистки при переменном входном потоке загрязнений:инвариантные множества и стабилизация

// Труды КарНЦ РАН. No 7. Сер. Математическое моделирование и информационные технологии. 2020. C. 67–71

A.N. Kirillov, I.V. Danilova. Dynamics of the biological wastewater treatment process under variable pollution input flow: invariant sets and stabilization // Transactions of Karelian Research Centre of Russian Academy of Science. No 7. Mathematical Modeling and Information Technologies. 2020. P. 67–71

Keywords: stabilization; biological treatment; invariant set

A mathematical model of the biological wastewater treatment process, based on simple balance equations, is proposed. The model of the process, a nonlinear system of ordinary differential equations, has a general nature: the functions describing oxidation and the input flow are not specified. The invariant set is found and its asymptotic global stability is proved. On the basis of the proposed model, a technique has been developed to stabilize the wastewater treatment process when the pollutant inflow is non-stationary, piecewise-constant.

URL: http://journals.krc.karelia.ru/index.php/mathem/article/view/1230

DOI: 10.17076/mat1230

Indexed at RSCI

Last modified: July 1, 2020