Email this article The Reachable set of a Three-Dimensional Nonlinear System Describing Sewage Treatment
- Authors: Bondarenko N.V.1, Grigor’eva E.V.2, Khailov E.N.1
-
Affiliations:
- Lomonosov Moscow State University, Faculty of Computation Mathematics and Cybernetics
- Department of Mathematics and Computer Sciences, Texas Women’s University
- Issue: Vol 27, No 3 (2016)
- Pages: 275-289
- Section: I. Mathematical Control Models
- URL: https://journals.rcsi.science/1046-283X/article/view/247512
- DOI: https://doi.org/10.1007/s10598-016-9321-6
- ID: 247512
Cite item
Open Access
Access granted
Subscription Access
Abstract
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.
About the authors
N. V. Bondarenko
Lomonosov Moscow State University, Faculty of Computation Mathematics and Cybernetics
Email: cmm@cs.msu.ru
Russian Federation, Moscow
E’. V. Grigor’eva
Department of Mathematics and Computer Sciences, Texas Women’s University
Email: cmm@cs.msu.ru
United States, Denton, TX
E. N. Khailov
Lomonosov Moscow State University, Faculty of Computation Mathematics and Cybernetics
Email: cmm@cs.msu.ru
Russian Federation, Moscow
Supplementary files
