Abstract

GRIGORIEVA, Ellina V; KHAILOV, Evgenii N  and  KHARITONOVA, E.I. Optimal control of pollution stock through ecological interaction of the manufacturer and the state. Rev. Mat [online]. 2011, vol.18, n.1, pp.77-109. ISSN 1409-2433.

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.

Keywords : optimal control; nonlinear model; environmental problem.

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