Generic singularities of the optimal averaged profit among stationary strategies

DOI10.1007/s10883-007-9026-4zbMath1147.49001OpenAlexW1969494774MaRDI QIDQ2477031

Helena Mena-Matos, C. S. Moreira

Publication date: 12 March 2008

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-007-9026-4

zbMATH Keywords

classification of singularitiesmaximizing the (time) averaged profitpolydynamical system

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) Dynamical systems in control (37N35) Dynamical systems in optimization and economics (37N40)

Related Items (5)

Generic profit singularities in time averaged optimization. The case of a control space with a regular boundary ⋮ Generic profit singularities of one-parameter cyclic processes with discount ⋮ Generic profit singularities in time averaged optimization for phase transitions in polydynamical systems ⋮ Generic profit singularities in time-averaged optimization for cyclic processes in polydynamical systems ⋮ Optimal cyclic harvesting of a distributed renewable resource with diffusion

Cites Work

• Singularities of differentiable maps, Volume 2. Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous and revised by the authors and James Montaldi
• Optimization in mean and phase transitions in controlled dynamical systems
• Singularities of optimal averaged profit for stationary strategies
• Generic phase transitions and profit singularities in Arnol'd's model
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