文章基本信息

标题：Application of optimal control and stabilization to an infinite time horizon problem under constraints * * The research was supported by the Russian Science Foundation (project No. 15-11-10018).
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作者：Andrey A. Krasovskii ; Pavel D. Lebedev ; Alexander M. Tarasyev 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2017
卷号：50
期号：1
页码：4057-4062
DOI：10.1016/j.ifacol.2017.08.788
语种：English
出版社：Elsevier
摘要：AbstractIn modeling the dynamics of capital, the Ramsey equation coupled with the Cobb-Douglas production function is reduced to a linear differential equation by means of the Bernoulli substitution. This equation is used in the optimal growth problem with logarithmic preferences. We consider a vector field of the Hamiltonian system in the Pontryagin maximum principle, taking into account control constraints. We prove the existence of two alternative steady states, depending on the constraints. A proposed algorithm for constructing growth trajectories combines methods of open-loop control and closed-loop stabilizing control. Results are supported by modeling examples.
关键词：KeywordsOptimal controlControl applicationsEconomic systemsSteady states