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Distributed Optimal Control Models in Environmental Economics: A Review

By Emmanuelle Augeraud-Véron, Raouf Boucekkine and Vladimir Veliov

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 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

Topics: partial differential equations, optimal control, distributed systems, environmental economics, JEL: C - Mathematical and Quantitative Methods/C.C6 - Mathematical Methods • Programming Models • Mathematical and Simulation Modeling/C.C6.C60 - General, JEL: C - Mathematical and Quantitative Methods/C.C6 - Mathematical Methods • Programming Models • Mathematical and Simulation Modeling/C.C6.C61 - Optimization Techniques • Programming Models • Dynamic Analysis, JEL: Q - Agricultural and Natural Resource Economics • Environmental and Ecological Economics/Q.Q5 - Environmental Economics/Q.Q5.Q50 - General, JEL: Q - Agricultural and Natural Resource Economics • Environmental and Ecological Economics/Q.Q5 - Environmental Economics/Q.Q5.Q57 - Ecological Economics: Ecosystem Services • Biodiversity Conservation • Bioeconomics • Industrial Ecology, [SHS.ECO]Humanities and Social Sciences/Economics and Finance
Publisher: HAL CCSD
Year: 2019
OAI identifier: oai:HAL:halshs-01982243v1
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