A. V. Arguchintsev, S. A. Avdonin, V. P. Poplevko, “Optimization of hyperbolic systems with integral constraints for smooth controls”, Bulletin of Irkutsk State University. Series Mathematics, 2010, Volume 3, Issue 3,Pages <nobr>28

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Optimization of hyperbolic systems with integral constraints for smooth controls

A. V. Arguchintsev^a, S. A. Avdonin^b, V. P. Poplevko^a

^a Irkutsk State University, 1, K. Marks St., Irkutsk, 664003
^b University of Alaska at Fairbanks, p.o. Box 756660, Fairbanks, AK 99775-6660, USA

Abstract: An optimal control problem by first-order hyperbolic systems in a class of smooth controls is considered. Functions of controls are satisfied by integral constraints. A non-classic necessary optimality condition is given for the optimal control problem and the results of numerical experiments are given.

Keywords: hyperbolic systems, smooth control, necessary optimality condition, special variation of control function.

UDC: 517.97