电邮这篇文章 The Reachable set of a Three-Dimensional Nonlinear System Describing Sewage Treatment
- 作者: Bondarenko N.V.1, Grigor’eva E.V.2, Khailov E.N.1
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隶属关系:
- Lomonosov Moscow State University, Faculty of Computation Mathematics and Cybernetics
- Department of Mathematics and Computer Sciences, Texas Women’s University
- 期: 卷 27, 编号 3 (2016)
- 页面: 275-289
- 栏目: 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
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详细
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.
作者简介
N. Bondarenko
Lomonosov Moscow State University, Faculty of Computation Mathematics and Cybernetics
Email: cmm@cs.msu.ru
俄罗斯联邦, Moscow
E’. Grigor’eva
Department of Mathematics and Computer Sciences, Texas Women’s University
Email: cmm@cs.msu.ru
美国, Denton, TX
E. Khailov
Lomonosov Moscow State University, Faculty of Computation Mathematics and Cybernetics
Email: cmm@cs.msu.ru
俄罗斯联邦, Moscow
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