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Found 44 Documents (Results 1–44)

Zero-order asymptotics for the solution of one type of singularly perturbed linear-quadratic control problems in the critical case. (English. Russian original) Zbl 1522.49031

Proc. Steklov Inst. Math. 321, Suppl. 1, S154-S169 (2023); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 29, No. 1, 127-142 (2023).
MSC:  49N10 93C70
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Solution of a linear-quadratic problem on a set of piecewise constant controls with parameterization of the functional. (English. Russian original) Zbl 1510.49031

Proc. Steklov Inst. Math. 319, Suppl. 1, S43-S53 (2022); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 28, No. 3, 5-16 (2022).
MSC:  49N10 93C35
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Asymptotics of a solution to a singularly perturbed time-optimal control problem of transferring an object to a set. (English. Russian original) Zbl 1469.49004

Proc. Steklov Inst. Math. 313, Suppl. 1, S40-S53 (2021); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 26, No. 2, 132-146 (2020).
MSC:  49J15 34H05
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Calculation of elements of a guiding program package for singular clusters of the set of initial states in the package guidance problem. (English. Russian original) Zbl 1458.93055

Proc. Steklov Inst. Math. 308, Suppl. 1, 163-177 (2020); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 25, No. 1, 150-165 (2019).
MSC:  93B30 49N45 93C05
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On a singularly perturbed time-optimal control problem with two small parameters. (English. Russian original) Zbl 1443.93084

Proc. Steklov Inst. Math. 307, Suppl. 1, S34-S50 (2019); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 2, 76-92 (2018).
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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).
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Asymptotics of a solution to a singularly perturbed time-optimal control problem. (English. Russian original) Zbl 1417.49019

Proc. Steklov Inst. Math. 303, Suppl. 1, S60-S69 (2018); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 23, No. 2, 67-76 (2017).
MSC:  49K15
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Extragradient method for finding a saddle point in a multicriteria problem with dynamics. (English. Russian original) Zbl 1373.49027

Proc. Steklov Inst. Math. 297, Suppl. 1, S203-S210 (2017); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 2, 71-78 (2016).
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Asymptotics of the optimal time in a time-optimal control problem with a small parameter. (English. Russian original) Zbl 1373.93223

Proc. Steklov Inst. Math. 297, Suppl. 1, S62-S71 (2017); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 1, 61-70 (2016).
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On the efficiency of solving optimal control problems by means of fast automatic differentiation technique. (English. Russian original) Zbl 1366.65064

Proc. Steklov Inst. Math. 295, Suppl. 1, S1-S10 (2016); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 21, No. 4, 20-29 (2015).
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Damping of a system of linear oscillators using the generalized dry friction. (English. Russian original) Zbl 1357.49129

Proc. Steklov Inst. Math. 293, Suppl. 1, S156-S165 (2016); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 21, No. 1, 168-177 (2015).
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Asymptotics of the solution in a problem of optimal boundary control of a flow through a part of the boundary. (English. Russian original) Zbl 1343.49006

Proc. Steklov Inst. Math. 292, Suppl. 1, S55-S66 (2016); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 4, 116-127 (2014).
MSC:  49J20 35J15
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Calculation formulas for nonsmooth singularities of the optimal result function in a time-optimal problem. (English. Russian original) Zbl 1336.49051

Proc. Steklov Inst. Math. 291, Suppl. 1, S239-S254 (2015); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 3, 276-290 (2014).
MSC:  49N99
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On the numerical solution of a minimax control problem with a positional functional. (English. Russian original) Zbl 1336.49037

Proc. Steklov Inst. Math. 291, Suppl. 1, S77-S95 (2015); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 3, 58-75 (2014).
MSC:  49M30 49J35 49N70 49N35 91A23 93B52
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Calculation of the derivative of an inaccurately defined function by means of feedback laws. (English. Russian original) Zbl 1337.65021

Proc. Steklov Inst. Math. 291, 219-231 (2015); translation from Tr. Mat. Inst. Steklova 291, 231-243 (2015).
MSC:  65D25 49J15 65K10
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Approximate solution to a time optimal boundary control problem for the wave equation. (English. Russian original) Zbl 1342.35419

Proc. Steklov Inst. Math. 291, 102-117 (2015); translation from Tr. Mat. Inst. Steklova 291, 112-127 (2015).
MSC:  35Q93 49J20 93C20
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Asymptotics of the optimal time in a time-optimal problem with two small parameters. (English. Russian original) Zbl 1321.49002

Proc. Steklov Inst. Math. 288, Suppl. 1, S46-S53 (2015); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 1, 92-99 (2014).
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On the unimprovability of full-memory strategies in the risk minimization problem. (English. Russian original) Zbl 1312.49022

Proc. Steklov Inst. Math. 287, Suppl. 1, S175-S184 (2014); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 19, No. 4, 222-230 (2013).
MSC:  49K15 49J15 91B30
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Asymptotic representation of a solution to a singular perturbation linear time-optimal problem. (English. Russian original) Zbl 1286.49004

Proc. Steklov Inst. Math. 281, Suppl. 1, S22-S35 (2013); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 18, No. 2, 67-79 (2012).
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On the existence of variational principles for differential-difference evolution equations. (English. Russian original) Zbl 1296.49033

Proc. Steklov Inst. Math. 283, 20-34 (2013); translation from Tr. Mat. Inst. Steklova 283, 25-39 (2013).
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Stabilizing the Hamiltonian system for constructing optimal trajectories. (English. Russian original) Zbl 1302.49003

Proc. Steklov Inst. Math. 277, 248-265 (2012); translation from Tr. Mat. Inst. Steklova 277, 257-274 (2012).
MSC:  49J15 49K15 49L99 49M30 91B62
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Asymptotics of the optimal time in a singular perturbed linear time-optimal problem. (English. Russian original) Zbl 1251.49002

Proc. Steklov Inst. Math. 271, Suppl. 1 (2010, Suppl. 3), 53-65 (2010); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 16, No. 1 (2010).
MSC:  49J15 93C70 93C05
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On Yudin’s scheme of finding a lower estimate for the potential energy of a system of charges on a sphere. (English. Russian original) Zbl 1248.93003

Proc. Steklov Inst. Math. 266, Suppl. 1 (2009, Suppl. 2), 174-193 (2009); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 15, No. 1 (2009).
MSC:  93-02
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Construction of a minimax solution for an eikonal-type equation. (English. Russian original) Zbl 1185.35058

Proc. Steklov Inst. Math. 263, Suppl. 2, 191-201 (2008); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 14, No. 2, 182-191 (2008).
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Properties of Hamiltonian systems in the Pontryagin’s maximum principle for economic growth problems. (English. Russian original) Zbl 1160.49022

Proc. Steklov Inst. Math. 262, 121-138 (2008); translation from Tr. Mat. Inst. Steklova 262, 127-145 (2008).
MSC:  49K20 49M05 91B62
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