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JOURNALS // Russian Universities Reports. Mathematics // Archive

Tambov University Reports. Series: Natural and Technical Sciences, 2018 Volume 23, Issue 122, Pages 158–167 (Mi vtamu66)

Degenerated linearly-quadratic problem with delay

I. Yu. Andreeva, A. S. Shlyakhov

Ural Federal University named after the first President of Russia B.N. Yeltsin

Abstract: We consider a degenerate linear-quadratic problem optimization with a constant delay in the system and in the functional. In the previously obtained results of the authors, it was possible to reduce the number of equations describing the parameters of optimal control. Thanks to this, for the first time model examples are calculated for such problems.

Keywords: degenerate linearly-quadratic problem, optimal control, impulse control, Aftereffect.

UDC: 517.977.5

Received: 19.03.2018

DOI: 10.20310/1810-0198-2018-23-122-158-167



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© Steklov Math. Inst. of RAS, 2024