This article is cited in 1 paper

Approximation Methods in Optimal Control Problems for Nonlinear Infinite-Dimensional Systems

S. Ya. Serovaĭskiĭ

Al-Farabi Kazakh National University

Abstract: Some notions related to approximate solutions and to the approximation of extremum problems for nonlinear infinite-dimensional systems are proposed. Optimization problems for nonlinear parabolic equations with a fixed terminal state and on an infinite time interval, as well as for singular stationary systems with phase constraints, are illustrated by several examples.

Keywords: optimization problem, nonlinear parabolic equation, approximate solution, phase constraint, fixed terminal state.

UDC: 517.977

Received: 10.01.2012
Revised: 21.12.2012

DOI: 10.4213/mzm9372

 English version: Mathematical Notes, 2013, 94:4, 567–582

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