Optimal control problems with unbounded constraint sets

DOI10.1080/02331930008844501zbMath0956.49002OpenAlexW2028117221MaRDI QIDQ4512752

J. E. Rubio

Publication date: 27 February 2001

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930008844501

zbMATH Keywords

optimal controlnonstandard analysisLoeb measurehyperrealsmultiplicative controlsinfinite horizonsdiscontinuous trajectorynon-standard optimizationunbounded control setsnearly optimal trajectory-control pairs

Mathematics Subject Classification ID

Existence theories for problems in abstract spaces (49J27) Nonstandard measure theory (28E05) Nonstandard analysis (26E35) Other applications of nonstandard models (economics, physics, etc.) (03H10)

Related Items (2)

Primal-dual stability in continuous linear optimization ⋮ Asymptotic optimality conditions for linear semi-infinite programming

Cites Work

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• On Differential Systems with Quadratic Impulses and Their Applications to Lagrangian Mechanics
• A Maximum Principle for Optimal Processes with Discontinuous Trajectories
• Analytic Sets, Baire Sets and the Standard Part Map
• Pushing down Loeb measures.
• Existence of optimal controls for continuous time infinite horizon problems
• Infinite-Horizon Linear-Quadratic Regulator Problems for Nonautonomous Parabolic Systems with Boundary Control
• Discontinuous solutions of variational problems

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