Abstract:
We consider single-type differential games. We study the problem of taking the phase point to a disk of a fixed radius at a given time. The payoff is the integral of a convex function depending on the norm of the first player's control.
Citation:
V. I. Ukhobotov, D. V. Gushchin, “Single-type differential games with convex integral payoff”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 1, 2011, 251–258; Proc. Steklov Inst. Math. (Suppl.), 275, suppl. 1 (2011), S178–S185
\Bibitem{UkhGus11}
\by V.~I.~Ukhobotov, D.~V.~Gushchin
\paper Single-type differential games with convex integral payoff
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2011
\vol 17
\issue 1
\pages 251--258
\mathnet{http://mi.mathnet.ru/timm687}
\elib{https://elibrary.ru/item.asp?id=15608151}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2011
\vol 275
\issue , suppl. 1
\pages S178--S185
\crossref{https://doi.org/10.1134/S0081543811090136}
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Linking options:
https://www.mathnet.ru/eng/timm687
https://www.mathnet.ru/eng/timm/v17/i1/p251
This publication is cited in the following 7 articles:
V. I. Ukhobotov, “On a control problem under a disturbance and a possible breakdown”, Proc. Steklov Inst. Math. (Suppl.), 307, suppl. 1 (2019), S159–S171
V. I. Ukhobotov, P. I. Maksakova, “Ob odnoi igrovoi zadache upravleniya tochkami vblizi poverkhnosti Luny”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 10:4 (2018), 41–48
V. I. Ukhobotov, “Lineinaya zadacha upravleniya pri nalichii pomekhi s platoi, zavisyaschei ot modulya lineinoi funktsii”, Tr. IMM UrO RAN, 23:1 (2017), 251–261
V. I. Ukhobotov, “Neobkhodimye usloviya optimalnosti v lineinoi zadache upravleniya s pomekhoi i platoi, zavisyaschei ot modulya lineinoi funktsii”, Chelyab. fiz.-matem. zhurn., 2:1 (2017), 80–87
V. I. Ukhobotov, “Ob odnoi lineinoi zadache upravleniya pri nalichii pomekhi”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 9:2 (2017), 36–46
V. I. Ukhobotov, D. V. Guschin, “Odnotipnaya zadacha upravleniya s vypukloi tselyu pri nalichii pomekhi”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 2012, no. 6, 24–29
D. V. Guschin, “Ob odnoi differentsialnoi igre s fiksirovannym momentom okonchaniya i s integralnoi platoi”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 2012, no. 7, 150–152
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