Existence of solutions to shallow lake type optimal control problems

DOI10.1007/S10957-020-01660-7zbMath1439.49003OpenAlexW3020962568MaRDI QIDQ2178883

Francesco Bartaloni

Publication date: 11 May 2020

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-020-01660-7

zbMATH Keywords

optimal controluniform localizationnon-compact control spacenon-concave dynamics

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Existence theories for optimal control problems involving ordinary differential equations (49J15) Environmental economics (natural resource models, harvesting, pollution, etc.) (91B76) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (1)

Existence of the optimum in Shallow Lake type models with hysteresis effect

Cites Work

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• Skiba points and heteroclinic bifurcations, with applications to the shallow lake system
• Bifurcations of optimal vector fields in the shallow lake model
• From Frank Ramsey to René Thom: a classical problem in the calculus of variations leading to an implicit differential equation
• Infinite horizon optimal control. Theory and applications
• Optimal control with state constraint and non-concave dynamics: a model arising in economic growth
• A new class of problems in the calculus of variations
• The value function of the shallow lake problem as a viscosity solution of a HJB equation
• Bifurcations of Optimal Vector Fields

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