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Optimal control of pollution stock

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

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