Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Pankratov I. A. Using Galerkin Method for Solving Linear Optimal Control Problems. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, vol. 14, iss. 3, pp. 340-349. DOI: 10.18500/1816-9791-2014-14-3-340-349, EDN: SMSJYN

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
10.09.2014
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Russian
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519.6, 531
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SMSJYN

Using Galerkin Method for Solving Linear Optimal Control Problems

Autors: 
Pankratov Ilia Alekseevich, Saratov State University
Abstract: 

The linear optimal control problem is considered. Duration of the controlled process is fixed. It is necessary to minimize the functional, that characterizes the energy consumption. A method of constructing an approximate solution based on the Galerkin method is proposed. Examples of numerical solutions of the problem are given.

References: 
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Received: 
20.03.2014
Accepted: 
05.08.2014
Published: 
10.09.2014