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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1978 Volume 105(147), Number 3, Pages 371–388 (Mi sm2530)

This article is cited in 6 papers

Necessary conditions for a weak extremum in optimal control problems on an infinite time interval

Yu. I. Brodskii


Abstract: The work is concerned with an optimal control problem on an infinite time interval. A simple method of interpretating the Euler equation is given, which does not require the use of approximation theory. Necessary conditions for a weak extremum in the form of a local maximum principle are obtained.
Bibliography: 9 titles.

UDC: 519.3

MSC: 49B27, 49B34

Received: 28.04.1976


 English version:
Mathematics of the USSR-Sbornik, 1978, 34:3, 327–343

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