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

• Grigorieva, Ellina V. ^[1] ; Khailov, Evgenii N. ^[2] ; Kharitonova, E. I. ^[2]
  1. [1] Texas Woman's University

     Texas Woman's University

     Estados Unidos

     
  2. [2] Moscow State Lomonosov University, Department of Computer Mathematics and Cybernetics
• Localización: Revista de Matemática: Teoría y Aplicaciones, ISSN 2215-3373, ISSN-e 2215-3373, Vol. 18, Nº. 1, 2011, págs. 77-109
• Idioma: inglés
• DOI: 10.15517/rmta.v18i1.2116
• Títulos paralelos:
  • Control Óptimo de Contaminación Almacenada a través de Interacción Ecológica entre el Fabricante y el Estado
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    Se ha creado e investigado un modelo de interacción entre un fabricante y el estado donde el fabricante produce un solo producto y el estado controla el nivel de contaminación. Se considera una economía local con un problema de contaminación almacenada, que debe escoger entre inversiones en producción y medio ambiente (funciones de control). El modelo es descrito por un sistema de dos ecuaciones diferenciales con dos controles acotados. La mejor estrategia de control se encuentra analíticamente usando el Principio del Máximo de Pontryagin y el Teorema de Green.

  • English

    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.

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