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Found 1,446 Documents (Results 1–100)

Lotka-Volterra competition model with a nonmonotone therapy function for finding optimal strategies in the treatment of blood cancers. (English. Russian original) Zbl 07618858

Proc. Steklov Inst. Math. 317, Suppl. 1, S71-S89 (2022); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 27, No. 2, 79-98 (2021).
MSC:  92C50 49J30 93C10
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Regular approximations of the fastest motion of mobile robot under bounded state variables. (English. Russian original) Zbl 1500.93077

Comput. Math. Math. Phys. 62, No. 9, 1539-1558 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 9, 1564-1584 (2022).
MSC:  93C85 49M99
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Extremum conditions for constrained scalar control of two nonsynchronous oscillators in the time-optimal control problem. (English. Russian original) Zbl 1498.49039

Dokl. Math. 106, No. 1, 286-290 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 86-91 (2022).
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Necessary optimality conditions for singular controls in stochastic Goursat-Darboux systems. (English. Russian original) Zbl 1496.93128

Autom. Remote Control 83, No. 4, 536-547 (2022); translation from Avtom. Telemekh. 2022, No. 4, 47-61 (2022).
MSC:  93E20 35R60 49K20
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Abnormal extremals of left-invariant sub-Finsler quasimetrics on four-dimensional Lie groups with three-dimensional generating distributions. (English. Russian original) Zbl 1501.53039

Sib. Math. J. 63, No. 4, 620-636 (2022); translation from Sib. Mat. Zh. 63, No. 4, 748-767 (2022).
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Regularization of the classical optimality conditions in optimal control problems for linear distributed systems of Volterra type. (English. Russian original) Zbl 1484.49008

Comput. Math. Math. Phys. 62, No. 1, 42-65 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 1, 45-70 (2022).
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Solutions of a Hamiltonian system with two-dimensional control in a neighbourhood of a singular second-order extremal. (English. Russian original) Zbl 1486.49003

Russ. Math. Surv. 76, No. 5, 936-938 (2021); translation from Usp. Mat. Nauk 76, No. 5, 201-202 (2021).
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Feedback maximum principle for a class of linear continuity equations inspired by optimal impulsive control. (English) Zbl 1485.49041

Pardalos, Panos (ed.) et al., Mathematical optimization theory and operations research. 20th international conference, MOTOR 2021, Irkutsk, Russia, July 5–10, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12755, 356-368 (2021).
MSC:  49N25 49N35 49K15
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Synthesis of third-order time-optimal control system for plants with extremum time response. (English. Russian original) Zbl 1484.49045

Autom. Remote Control 82, No. 12, 2183-2191 (2021); translation from Datchiki Sist. 2020, No. 1, 3-8 (2020).
MSC:  49K15 37N25
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Regularized classical optimality conditions in iterative form for convex optimization problems for distributed Volterra-type systems. (Russian. English summary) Zbl 1483.49029

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Maximum principle for an optimal control problem with an asymptotic endpoint constraint. (English. Russian original) Zbl 07466401

Proc. Steklov Inst. Math. 315, Suppl. 1, S42-S54 (2021); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 27, No. 2, 35-48 (2021).
MSC:  49K15 91B62
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Neighborhood of the second-order singular regime in problems with control in a disk. (English. Russian original) Zbl 1484.37072

Proc. Steklov Inst. Math. 315, No. 1, 209-222 (2021); translation from Tr. Mat. Inst. Steklova 315, 222-236 (2021).
MSC:  37J51 37N35 37N40
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Optimal strategies in the treatment of cancers in the Lotka-Volterra mathematical model of competition. (English. Russian original) Zbl 1470.92142

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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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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Abnormal extremals of left-invariant sub-Finsler quasimetrics on four-dimensional Lie groups. (English. Russian original) Zbl 1472.53085

Sib. Math. J. 62, No. 3, 383-399 (2021); translation from Sib. Mat. Zh. 62, No. 3, 383-399 (2021).
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