Optimal control of pollution stock

Ellina Grigorieva; Evgenii Khailov

doi:10.3934/proc.2011.2011.578

Article Contents

2011, Volume 2011: 578-588. Doi: 10.3934/proc.2011.2011.578 open access

This issue Previous Article A natural differential operator on conic spaces Next Article Distributed mathematical models of undetermined "without preference" motion of traffic flow

Optimal control of pollution stock

Ellina Grigorieva^1, and
Evgenii Khailov^2,

1.
Department of Mathematics and Computer Sciences, Texas Woman's University, Denton, TX 76204
2.
Department of Computer Mathematics and Cybernetics, Moscow State Lomonosov University, Moscow, 119992

Received: June 30, 2010

Revised: May 31, 2011

Published: August 2017

Abstract Related Papers Cited by

Abstract

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. 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.

Keywords:

Mathematics Subject Classification: 49J15, 49N90, 93C10, 93C95.

Citation:

Article Metrics

HTML views() PDF downloads(51) Cited by(0)

Optimal control of pollution stock

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Optimal control of pollution stock

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content