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Grigorenko, N. L.; Khailov, E. N.; Grigorieva, E. V.; Klimenkova, A. D.
Optimal strategies in the treatment of cancers in the Lotka-Volterra mathematical model of competition. (English. Russian original) Zbl 07377485
Proc. Steklov Inst. Math. 313, Suppl. 1, S100-S116 (2021); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 26, No. 1, 71-88 (2020).
MSC:  92C50 49J30 93C10
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\textit{N. L. Grigorenko} et al., Proc. Steklov Inst. Math. 313, S100--S116 (2021; Zbl 07377485); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 26, No. 1, 71--88 (2020)
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Tarasyev, A. M.; Usova, A. A.
Estimate of a smooth approximation to the production function for integrating Hamiltonian systems. (English. Russian original) Zbl 1462.91013
Autom. Remote Control 82, No. 5, 911-925 (2021); translation from Mat. Teor. Igr Prilozh. 12, No. 1, 91-115 (2020).
MSC:  91B62 91B38 49J15
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\textit{A. M. Tarasyev} and \textit{A. A. Usova}, Autom. Remote Control 82, No. 5, 911--925 (2021; Zbl 1462.91013); translation from Mat. Teor. Igr Prilozh. 12, No. 1, 91--115 (2020)
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Berestovskii, V. N.; Zubareva, I. A.
Abnormal extremals of left-invariant sub-Finsler quasimetrics on four-dimensional Lie groups. (English. Russian original) Zbl 07356180
Sib. Math. J. 62, No. 3, 383-399 (2021); translation from Sib. Mat. Zh. 62, No. 3, 383-399 (2021).
MSC:  53C60 53C17 53C30 22E99
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\textit{V. N. Berestovskii} and \textit{I. A. Zubareva}, Sib. Math. J. 62, No. 3, 383--399 (2021; Zbl 07356180); translation from Sib. Mat. Zh. 62, No. 3, 383--399 (2021)
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Petrosian, Ovanes; Tur, Anna; Zhou, Jiangjing
Pontryagin’s maximum principle for non-cooperative differential games with continuous updating. (English) Zbl 1458.91037
Kochetov, Yury (ed.) et al., Mathematical optimization theory and operations research. 19th international conference, MOTOR 2020, Novosibirsk, Russia, July 6–10, 2020. Revised selected papers. Cham: Springer. Commun. Comput. Inf. Sci. 1275, 256-270 (2020).
MSC:  91A23 91A10 49N70
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\textit{O. Petrosian} et al., Commun. Comput. Inf. Sci. 1275, 256--270 (2020; Zbl 1458.91037)
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Shugailo, T. S.
Motion control of a loaded gantry crane by prescribing its acceleration. (English. Russian original) Zbl 1457.49036
Vestn. St. Petersbg. Univ., Math. 53, No. 1, 100-107 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 1, 154-164 (2020).
MSC:  49S05 70B15 49K15 70F25 70G75
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\textit{T. S. Shugailo}, Vestn. St. Petersbg. Univ., Math. 53, No. 1, 100--107 (2020; Zbl 1457.49036); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 1, 154--164 (2020)
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Yushkov, M. P.
Formulation and solution of a generalized Chebyshev problem. II. (English. Russian original) Zbl 1461.93212
Vestn. St. Petersbg. Univ., Math. 53, No. 4, 459-472 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 714-733 (2020).
Reviewer: Mikhail I. Krastanov (Sofia)
MSC:  93C15 70Q05
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\textit{M. P. Yushkov}, Vestn. St. Petersbg. Univ., Math. 53, No. 4, 459--472 (2020; Zbl 1461.93212); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 714--733 (2020)
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Bonnard, Bernard; Rouot, Jérémy
Toward geometric time minimal control without Legendre condition and with multiple singular extremals for chemical networks. (English) Zbl 1457.92006
Kotas, Jakob (ed.), Advances in nonlinear biological systems: modeling and optimal control. Selected papers based on the presentations at the special session on mathematical methods and models in medicine at the American Mathematical Society (AMS)’s spring Central and Western joint sectional meeting, Honolulu, HI, USA, March 22–24, 2019. Springfield, MO: American Institute of Mathematical Sciences (AIMS). AIMS Ser. Appl. Math. 11, 1-34 (2020).
MSC:  92B05 49K15 58K45
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\textit{B. Bonnard} and \textit{J. Rouot}, AIMS Ser. Appl. Math. 11, 1--34 (2020; Zbl 1457.92006)
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Biswas, Tania; Dharmatti, Sheetal; Mohan, Manil T.
Pontryagin maximum principle and second order optimality conditions for optimal control problems governed by 2D nonlocal Cahn-Hilliard-Navier-Stokes equations. (English) Zbl 1462.49008
Analysis, München 40, No. 3, 127-150 (2020).
Reviewer: Jürgen Socolowsky (Brandenburg an der Havel)
MSC:  49J20 35Q35 76D03 49K15
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\textit{T. Biswas} et al., Analysis, München 40, No. 3, 127--150 (2020; Zbl 1462.49008)
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Grigor’eva, E. V.; Khailov, E. N.
Minimum-time optimal control for a model of biological wastewater treatment. (English. Russian original) Zbl 1441.93112
Comput. Math. Model. 31, No. 2, 179-189 (2020); translation from Probl. Din. Upr. 2017, No. 8, 27-38 (2017).
MSC:  93C10 49N90 93C15
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\textit{E. V. Grigor'eva} and \textit{E. N. Khailov}, Comput. Math. Model. 31, No. 2, 179--189 (2020; Zbl 1441.93112); translation from Probl. Din. Upr. 2017, No. 8, 27--38 (2017)
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Grigorieva, Ellina V.; Khailov, Evgenii N.
Optimal strategies of the psoriasis treatment by suppressing the interaction between T-lymphocytes and dendritic cells. (English) Zbl 1453.92136
Roy, Priti Kumar (ed.) et al., Mathematical analysis and applications in modeling. Selected papers presented at the international conference, ICMAAM 2018, Kolkata, India, January 9–12, 2018. Singapore: Springer. Springer Proc. Math. Stat. 302, 1-11 (2020).
MSC:  92C50 92C37 92-08
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\textit{E. V. Grigorieva} and \textit{E. N. Khailov}, Springer Proc. Math. Stat. 302, 1--11 (2020; Zbl 1453.92136)
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Taras’ev, Aleksandr M.; Usova, Anastasiya A.
An estimate of a smooth approximation of the production function for integrating Hamiltonian systems. (Russian. English summary) Zbl 1444.91148
Mat. Teor. Igr Prilozh. 12, No. 1, 91-115 (2020); translation in Autom. Remote Control 82, No. 5, 911-925 (2021).
MSC:  91B62 91B38 49J15
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\textit{A. M. Taras'ev} and \textit{A. A. Usova}, Mat. Teor. Igr Prilozh. 12, No. 1, 91--115 (2020; Zbl 1444.91148); translation in Autom. Remote Control 82, No. 5, 911--925 (2021)
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Arutyunov, A. V.; Zhukovskiy, S. E.
Necessary optimality conditions for optimal control problems in the presence of degeneration. (English. Russian original) Zbl 1445.49016
Differ. Equ. 56, No. 2, 238-250 (2020); translation from Differ. Uravn. 56, No. 2, 243-255 (2020).
Reviewer: Mihail Voicu (Iaşi)
MSC:  49L99 49K15
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\textit{A. V. Arutyunov} and \textit{S. E. Zhukovskiy}, Differ. Equ. 56, No. 2, 238--250 (2020; Zbl 1445.49016); translation from Differ. Uravn. 56, No. 2, 243--255 (2020)
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Skiba, Alexander K.
Maximization of the accumulated extraction in a gas fields model. (English) Zbl 1467.76048
Evtushenko, Yury (ed.) et al., Optimization and applications. 9th international conference, OPTIMA 2018, Petrovac, Montenegro, October 1–5, 2018. Revised selected papers. Cham: Springer. Commun. Comput. Inf. Sci. 974, 453-469 (2019).
MSC:  76N25 76M30 76N15
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\textit{A. K. Skiba}, Commun. Comput. Inf. Sci. 974, 453--469 (2019; Zbl 1467.76048)
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Yushkov, M. P.
Formulation and solution of a generalized Chebyshev problem. I. (English. Russian original) Zbl 07276530
Vestn. St. Petersbg. Univ., Math. 52, No. 4, 436-451 (2019); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 6(64), No. 4, 680-701 (2019).
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\textit{M. P. Yushkov}, Vestn. St. Petersbg. Univ., Math. 52, No. 4, 436--451 (2019; Zbl 07276530); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 6(64), No. 4, 680--701 (2019)
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Grigorenko, N. L.; Grigorieva, É. V.; Roi, P. K.; Khailov, E. N.
Optimal control problems for a mathematical model of the treatment of psoriasis. (English. Russian original) Zbl 1435.92028
Comput. Math. Model. 30, No. 4, 352-363 (2019); translation from Prikl. Mat. Inf. 61, 28-41 (2019).
MSC:  92C50 92-10 49N90
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\textit{N. L. Grigorenko} et al., Comput. Math. Model. 30, No. 4, 352--363 (2019; Zbl 1435.92028); translation from Prikl. Mat. Inf. 61, 28--41 (2019)
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Levskii, M. V.
Restricted quadratic optimal control of a spacecraft turning in a fixed time period. (English. Russian original) Zbl 1432.49069
J. Comput. Syst. Sci. Int. 58, No. 1, 126-146 (2019); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upravl. 2019, No. 1, 131-152 (2019).
MSC:  49S05 49K15 70G75
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\textit{M. V. Levskii}, J. Comput. Syst. Sci. Int. 58, No. 1, 126--146 (2019; Zbl 1432.49069); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upravl. 2019, No. 1, 131--152 (2019)
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Dmitruk, A. V.; Osmolovskii, N. P.
Variations of the \(v\)-change of time in problems with state constraints. (English. Russian original) Zbl 1431.49024
Proc. Steklov Inst. Math. 305, Suppl. 1, S49-S64 (2019); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 1, 76-92 (2018).
MSC:  49K15
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\textit{A. V. Dmitruk} and \textit{N. P. Osmolovskii}, Proc. Steklov Inst. Math. 305, S49--S64 (2019; Zbl 1431.49024); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 1, 76--92 (2018)
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Kipka, Robert
Optimality and viability conditions for state-constrained optimal control problems. (English) Zbl 1429.49027
Khan, Akhtar A. (ed.) et al., Variational analysis and set optimization. Developments and applications in decision making. Boca Raton, FL: CRC Press/Science Publishers. 112-128 (2019).
Reviewer: Elvira Mascolo (Firenze)
MSC:  49K21 49J52
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\textit{R. Kipka}, in: Variational analysis and set optimization. Developments and applications in decision making. Boca Raton, FL: CRC Press/Science Publishers. 112--128 (2019; Zbl 1429.49027)
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Gromova, Ekaterina V.; Magnitskaya, Natalya G.
Solution of the differential game with hybrid structure. (English) Zbl 1425.91061
Petrosyan, Leon A. (ed.) et al., Contributions to game theory and management. Volume XII. Collected papers presented at the 12th international conference on game theory and management (GTM 2018), St. Petersburg, Russia, June 27–29, 2018. St. Petersburg: St. Petersburg State University. 159-176 (2019).
MSC:  91A23 91A12 49N70
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\textit{E. V. Gromova} and \textit{N. G. Magnitskaya}, in: Contributions to game theory and management. Volume XII. Collected papers presented at the 12th international conference on game theory and management (GTM 2018), St. Petersburg, Russia, June 27--29, 2018. St. Petersburg: St. Petersburg State University. 159--176 (2019; Zbl 1425.91061)
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Khailov, E. N.; Grigorieva, E. V.
On a third-order singular arc of optimal control in a minimization problem for a mathematical model of psoriasis treatment. (English. Russian original) Zbl 1420.49051
Proc. Steklov Inst. Math. 304, 281-291 (2019); translation from Tr. Mat. Inst. Steklova 304, 298-308 (2019).
MSC:  49S05 49J45 92C37 49K15 49K30
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\textit{E. N. Khailov} and \textit{E. V. Grigorieva}, Proc. Steklov Inst. Math. 304, 281--291 (2019; Zbl 1420.49051); translation from Tr. Mat. Inst. Steklova 304, 298--308 (2019)
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