Properties of Hamiltonian systems in the Pontryagin's maximum principle for economic growth problems

DOI10.1134/S0081543808030103zbMath1160.49022OpenAlexW1986207399MaRDI QIDQ2378014

Alexander Tarasyev, Andrey A. Krasovskii

Publication date: 5 January 2009

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543808030103

zbMATH Keywords

Hamiltonian systemsoptimal control problemPontryagin's maximum principleoptimal economic growth trajectory

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical methods based on necessary conditions (49M05) Economic growth models (91B62)

Related Items (8)

Proportional economic growth under conditions of limited natural resources ⋮ Unnamed Item ⋮ Optimal control for proportional economic growth ⋮ Bernoulli substitution in the Ramsey model: optimal trajectories under control constraints ⋮ Optimization of functionality development ⋮ The structure of optimal solutions for harvesting a renewable resource ⋮ Some facts about the Ramsey model ⋮ Estimate of a smooth approximation to the production function for integrating Hamiltonian systems

Cites Work

• An existence result for optimal economic growth problems
• Dynamic optimality principles and sensitivity analysis in models of economic growth.
• Mathematical Optimization and Economic Theory
• Convex Analysis
• Unnamed Item
• Unnamed Item

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