Estimate for the Accuracy of a Backward Procedure for the Hamilton—Jacobi Equation in an Infinite-Horizon Optimal Control Problem


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We consider an infinite-horizon optimal control problem with an integral objective functional containing a discount factor in the integrand. A specific feature of the problem is the assumption that the integrand may be unbounded. The main result of the paper is an estimate of the approximation accuracy in a backward procedure for solving the Hamilton-Jacobi equation corresponding to the optimal control problem.

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A. Bagno

Ural Federal University named after the First President of Russia B. N. Yeltsin

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Email: bagno.alexander@gmail.com
俄罗斯联邦, ul. Mira 19, Yekaterinburg, 620002

A. Tarasyev

Ural Federal University named after the First President of Russia B. N. Yeltsin; N. N. Krasovskii Institute of Mathematics and Mechanics

编辑信件的主要联系方式.
Email: tam@imm.uran.ru
俄罗斯联邦, ul. Mira 19, Yekaterinburg, 620002; ul. S. Kovalevskoi 16, Yekaterinburg, 620990

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