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Augeraud-Véron, E., Boucekkine, R., & Veliov, V. M. (2019). Distributed Optimal Control Models in Environmental Economics: A Review. Mathematical Modelling of Natural Phenomena, 14(1), 106. https://doi.org/10.1051/mmnp/2019016
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
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Journal:
Mathematical Modelling of Natural Phenomena
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ISSN:
0973-5348
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Date (published):
2019
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Number of Pages:
14
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Peer reviewed:
Yes
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Keywords:
Applied Mathematics; Modeling and Simulation; Optimal control; metric regularity; affine problems; solution stability; perturbed control problems.
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Abstract:
We review the most recent advances in distributed optimal control applied to environmental economics, covering in particular problems where the state dynamics are governed by partial differential equations (PDEs). This is a quite fresh application area of distributed optimal control, which has already suggested several new mathematical research lines due to the specificities of the environmental e...
We review the most recent advances in distributed optimal control applied to environmental economics, covering in particular problems where the state dynamics are governed by partial differential equations (PDEs). This is a quite fresh application area of distributed optimal control, which has already suggested several new mathematical research lines due to the specificities of the environmental economics problems involved. We enhance the latter through a survey of the variety of themes and associated mathematical structures beared by this literature. We also provide a quick tour of the existing tools in the theory of distributed optimal control that have been applied so far in environmental economics.
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Research Areas:
Mathematical Methods in Economics: 60% Modelling and Simulation: 40%
