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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 262, Pages 127–145 (Mi tm769)  
This article is cited in 25 scientific papers (total in 25 papers)

Properties of Hamiltonian Systems in the Pontryagin Maximum Principle for Economic Growth Problems

A. A. Krasovskii, A. M. Tarasyev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (251 kB) Citations (25)
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Abstract: We consider an optimal control problem with a functional defined by an improper integral. We study the concavity properties of the maximized Hamiltonian and analyze the Hamiltonian systems in the Pontryagin maximum principle. On the basis of this analysis, we propose an algorithm for constructing an optimal trajectory by gluing the dynamics of the Hamiltonian systems. The algorithm is illustrated by calculating an optimal economic growth trajectory for macroeconomic data.
Received in April 2007
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 262, Pages 121–138
DOI: https://doi.org/10.1134/S0081543808030103
Bibliographic databases:
UDC: 517.977.5+519.86
Language: Russian
Citation: A. A. Krasovskii, A. M. Tarasyev, “Properties of Hamiltonian Systems in the Pontryagin Maximum Principle for Economic Growth Problems”, Optimal control, Collected papers. Dedicated to professor Viktor Ivanovich Blagodatskikh on the occation of his 60th birthday, Trudy Mat. Inst. Steklova, 262, MAIK Nauka/Interperiodica, Moscow, 2008, 127–145; Proc. Steklov Inst. Math., 262 (2008), 121–138
Citation in format AMSBIB
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\paper Properties of Hamiltonian Systems in the Pontryagin Maximum Principle for Economic Growth Problems
\inbook Optimal control
\bookinfo Collected papers. Dedicated to professor Viktor Ivanovich Blagodatskikh on the occation of his 60th birthday
\serial Trudy Mat. Inst. Steklova
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\vol 262
\pages 127--145
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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