The Reachable set of a Three-Dimensional Nonlinear System Describing Sewage Treatment


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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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