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Found 115 Documents (Results 1–100)

Direct scheme for the asymptotic solution of linear-quadratic problems with cheap controls of different costs. (English. Russian original) Zbl 1418.49036

Differ. Equ. 55, No. 1, 84-104 (2019); translation from Differ. Uravn. 55, No. 1, 83-102 (2019).
MSC:  49N10 49M25
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A step-type solution for the affine singularly perturbed problem of optimal control. (English. Russian original) Zbl 1287.49003

Autom. Remote Control 74, No. 12, 2007-2019 (2013); translation from Avtom. Telemekh. 2013, No. 12, 104-118 (2013).
MSC:  49J15 93C70 34H05
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On the asymptotics of solution of one problem of optimal control of the small-parameter parabolic equation. (English. Russian original) Zbl 1232.49025

Autom. Remote Control 72, No. 1, 61-73 (2011); translation from Avtom. Telemekh. 2011, No. 1, 66-79 (2011).
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Steplike contrast structure in an elementary optimal control problem. (Russian, English) Zbl 1224.49031

Zh. Vychisl. Mat. Mat. Fiz. 50, No. 8, 1381-1392 (2010); translation in Comput. Math., Math. Phys. 50, No. 8, 1312-1323 (2010).
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Linear-quadratic optimal control problem for singularly perturbed systems with small delays. (English) Zbl 1213.49040

Leizarowitz, Arie (ed.) et al., Nonlinear analysis and optimization II. Optimization. A conference in celebration of Alex Ioffe’s 70th and Simeon Reich’s 60th birthdays, June 18–24, 2008, Haifa, Israel. Providence, RI: American Mathematical Society (AMS); Ramat-Gan: Bar-Ilan University (ISBN 978-0-8218-4835-7/pbk). Contemporary Mathematics 514; Israel Mathematical Conference Proceedings, 155-188 (2010).
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Asymptotic solution of a discrete optimal control problem for one class of weakly controllable systems. (English. Russian original) Zbl 1219.49002

J. Comput. Syst. Sci. Int. 48, No. 1, 30-40 (2009); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2009, No. 1, 34-44 (2009).
MSC:  49J10 93B05 49M30
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Approximation of a singularly perturbed elliptic optimal control problem with geometric constraints on the control. (English) Zbl 1122.49304

Danilin, A. R. (ed.), Asymptotic expansions, approximation theory, topology. Transl. from the Russian. Moscow: Maik Nauka / Interperiodica. Proceedings of the Steklov Institute of Mathematics 2003, Suppl. 1, S45-S53 (2003).
MSC:  49K40 35J25 49J20 93C70 49M30
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Minimization of the total momentum of control drive on the trajectories of linear singularly perturbed systems. (Russian, English) Zbl 1105.49303

Zh. Vychisl. Mat. Mat. Fiz. 42, No. 10, 1475-1486 (2002); translation in Comput. Math. Math. Phys. 42, No. 10,1419-1429 (2002).
MSC:  49K40 93C70
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An asymptotic method for a singularly perturbed linear-quadratic optimal control problem. (English. Russian original) Zbl 0965.49021

Comput. Math. Math. Phys. 38, No. 9, 1412-1422 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 9, 1473-1483 (1998).
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Asymptotic minimization of the full moment of control actions. (English. Russian original) Zbl 0951.49034

Comput. Math. Math. Phys. 37, No. 12, 1384-1395 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 12, 1427-1438 (1997).
MSC:  49M99 49J15 90C34
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On regularization of the asymptotic solution to a control problem under perturbations of the set of initial positions. (English. Russian original) Zbl 0853.49004

Differ. Equations 30, No. 11, 1790-1799 (1994); translation from Differ. Uravn. 30, No. 11, 1939-1948 (1994).
MSC:  49J15 93C73
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Regularity of the weak solution of the Lamé system in nonsmooth domains. (English) Zbl 0798.35029

Bandle, C. (ed.) et al., Progress in partial differential equations: calculus of variations, applications. 1st European conference on elliptic and parabolic problems, Pont-à-Mousson, France, June 1991. Harlow, Essex: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 267, 272-284 (1993).
Reviewer: S.Nicaise
MSC:  35D10 49N60 35C20
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