Optimal Control of Pollution Stock through Ecological Interaction of the Manufacturer and the State

Optimal Control of Pollution Stock through Ecological Interaction of the Manufacturer and the State

A model of an interaction between a manufacturer and the state where the manufacturer produces a single product and the state controls the level of pollution is created and investigated. A local economy with a stock pollution problem that must choose between productive and environmental investments...

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Main Authors: Ellina V. Grigorieva, Evgenii N. Khailov, E. I. Kharitonova
Format: Article
Language:Spanish
Published: Universidad de Costa Rica 2011-03-01
Series:Revista de Matemática: Teoría y Aplicaciones
Online Access:https://revistas.ucr.ac.cr/index.php/matematica/article/view/2116
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spelling doaj-33c9800b36af4185910f59ceaa739a272020-11-25T00:49:16ZspaUniversidad de Costa RicaRevista de Matemática: Teoría y Aplicaciones2215-33732011-03-011811111010.15517/rmta.v18i1.21162014Optimal Control of Pollution Stock through Ecological Interaction of the Manufacturer and the StateEllina V. Grigorieva0Evgenii N. Khailov1E. I. Kharitonova2Texas Woman’s University, Department of Mathematics and Computer SciencesMoscow State Lomonosov University, Department of Computer Mathematics and CyberneticsMoscow State Lomonosov University, Department of Computer Mathematics and CyberneticsA model of an interaction between a manufacturer and the state where the manufacturer produces a single product and the state controls the level of pollution is created and investigated. A local economy with a stock pollution problem that must choose between productive and environmental investments (control functions) is considered. The model is described by a nonlinear system of two differential equations with two bounded controls. The best optimal strategy is found analytically with the use of the Pontryagin Maximum Principle and Green’s Theorem.https://revistas.ucr.ac.cr/index.php/matematica/article/view/2116
collection DOAJ
language Spanish
format Article
sources DOAJ
author Ellina V. Grigorieva
Evgenii N. Khailov
E. I. Kharitonova
spellingShingle Ellina V. Grigorieva
Evgenii N. Khailov
E. I. Kharitonova
Optimal Control of Pollution Stock through Ecological Interaction of the Manufacturer and the State
Revista de Matemática: Teoría y Aplicaciones
author_facet Ellina V. Grigorieva
Evgenii N. Khailov
E. I. Kharitonova
author_sort Ellina V. Grigorieva
title Optimal Control of Pollution Stock through Ecological Interaction of the Manufacturer and the State
title_short Optimal Control of Pollution Stock through Ecological Interaction of the Manufacturer and the State
title_full Optimal Control of Pollution Stock through Ecological Interaction of the Manufacturer and the State
title_fullStr Optimal Control of Pollution Stock through Ecological Interaction of the Manufacturer and the State
title_full_unstemmed Optimal Control of Pollution Stock through Ecological Interaction of the Manufacturer and the State
title_sort optimal control of pollution stock through ecological interaction of the manufacturer and the state
publisher Universidad de Costa Rica
series Revista de Matemática: Teoría y Aplicaciones
issn 2215-3373
publishDate 2011-03-01
description A model of an interaction between a manufacturer and the state where the manufacturer produces a single product and the state controls the level of pollution is created and investigated. A local economy with a stock pollution problem that must choose between productive and environmental investments (control functions) is considered. The model is described by a nonlinear system of two differential equations with two bounded controls. The best optimal strategy is found analytically with the use of the Pontryagin Maximum Principle and Green’s Theorem.
url https://revistas.ucr.ac.cr/index.php/matematica/article/view/2116
work_keys_str_mv AT ellinavgrigorieva optimalcontrolofpollutionstockthroughecologicalinteractionofthemanufacturerandthestate
AT evgeniinkhailov optimalcontrolofpollutionstockthroughecologicalinteractionofthemanufacturerandthestate
AT eikharitonova optimalcontrolofpollutionstockthroughecologicalinteractionofthemanufacturerandthestate
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