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JOURNALS // Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki // Archive

Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2011 Volume 153, Book 4, Pages 49–58 (Mi uzku1079)

Comparative analysis of methods for solving an optimal control problem

M. G. Khasanov

N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University

Abstract: Approximation of a state-constrained optimal control problem with the right-hand side of a linear elliptic equation by the finite difference method is considered. Iterative methods for solving grid problems are built. Their convergent conditions are given. According to numerical results, analysis of their efficiency is done.

Keywords: optimal control, saddle problem with constraints, iterative methods.

UDC: 519.6

Received: 23.06.2011



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