Отправить статью по E-mail The Reachable set of a Three-Dimensional Nonlinear System Describing Sewage Treatment
- Авторы: Bondarenko N.V.1, Grigor’eva E.V.2, Khailov E.N.1
-
Учреждения:
- Lomonosov Moscow State University, Faculty of Computation Mathematics and Cybernetics
- Department of Mathematics and Computer Sciences, Texas Women’s University
- Выпуск: Том 27, № 3 (2016)
- Страницы: 275-289
- Раздел: I. Mathematical Control Models
- URL: https://journal-vniispk.ru/1046-283X/article/view/247512
- DOI: https://doi.org/10.1007/s10598-016-9321-6
- ID: 247512
Цитировать
Открытый доступ
Доступ предоставлен
Только для подписчиков
Аннотация
The article examines a controlled process of biological treatment of effluents. The model is described by a nonlinear system of three differential equations with one bounded control. We investigate the properties of the solutions of this system: boundedness and continuation on a given interval. The corresponding reachable set is considered. A bound is derived on the number of control switching points required to reach the set boundary.
Об авторах
N. Bondarenko
Lomonosov Moscow State University, Faculty of Computation Mathematics and Cybernetics
Email: cmm@cs.msu.ru
Россия, Moscow
E’. Grigor’eva
Department of Mathematics and Computer Sciences, Texas Women’s University
Email: cmm@cs.msu.ru
США, Denton, TX
E. Khailov
Lomonosov Moscow State University, Faculty of Computation Mathematics and Cybernetics
Email: cmm@cs.msu.ru
Россия, Moscow
Дополнительные файлы
