Generic profit singularities in time averaged optimization. The case of a control space with a regular boundary

DOI10.1007/s10883-010-9082-zzbMath1203.49024OpenAlexW2082331229MaRDI QIDQ619260

Helena Mena-Matos

Publication date: 24 January 2011

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

Full work available at URL: https://doi.org/10.1007/s10883-010-9082-z

zbMATH Keywords

singularitiescontrol systemsaveraged optimization

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15) Theory of singularities and catastrophe theory (58K99)

Related Items (3)

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

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• Singularities of the maximum function on a manifold with boundary
• Singularities of the maximum of a parametrically dependent function
• Maximum functions of a family of functions depending on parameters
• Optimization in mean and phase transitions in controlled dynamical systems
• Generic singularities of the optimal averaged profit among stationary strategies
• Generic phase transitions and profit singularities in Arnol'd's model

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