Výsledky vyhledávání - "M. M. Potapov"

Extragradient Method for Correction of Inconsistent Linear Programming Problems

Autor: L. A. Artem’eva, M. M. Potapov, F. P. Vasil’ev

Publikováno v: Computational Mathematics and Mathematical Physics. 58:1919-1925

For a pair of dual inconsistent linear programming problems, the existence and uniqueness of a correction vector that is optimal in the norm is proved. It is shown that the correction problem is reduced to the problem of finding a saddle point of a r

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8696b6be9ea34f698fcfb06693f2febf
https://doi.org/10.1134/s0965542518120163

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Numerical Method for Damping String Vibrations with Unknown Initial State in the Class of Weak Generalized Solutions

Autor: M. M. Potapov, A. A. Dryazhenkov

Publikováno v: Differential Equations. 54:1425-1443

The problem of positional boundary control is considered for the spatially one-dimensional wave equation. The objective of control is to transfer the system from an unknown initial state into the state of rest in finite time. A specific feature of th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e444bbe8c70679afe22df852cc5bc543
https://doi.org/10.1134/s0012266118110046

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Approximations to time-optimal boundary controls for weak generalized solutions of the wave equation

Autor: D. A. Ivanov, M. M. Potapov

Publikováno v: Computational Mathematics and Mathematical Physics. 57:607-625

For the wave equation, time-optimal control problems with two-sided boundary controls of three basic types are considered in classes of weak generalized solutions. Stable algorithms for computing approximate optimal times and optimal boundary control

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::da173ad4378d13d0024a12358a7c2395
https://doi.org/10.1134/s0965542517030071

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Regularized extragradient method in multicriteria control problems with inaccurate data

Autor: L. A. Artem’eva, F. P. Vasil’ev, M. M. Potapov

Publikováno v: Differential Equations. 52:1504-1516

The class of Hilbert space multicriteria optimization problems considered in the paper includes control problems for various dynamical systems with lumped as well as distributed parameters. An equilibrium point is sought under the assumption that the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::95e5bcdbf8c6134876d4a77ed3e88f4a
https://doi.org/10.1134/s0012266116110112

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Numerical method for a quadratic minimization problem with an ellipsoidal constraint and an a priori estimate for the solution norm

Autor: M. M. Potapov, A. A. Dryazhenkov

Publikováno v: Computational Mathematics and Mathematical Physics. 56:206-220

An algorithm for solving a quadratic minimization problem on an ellipsoidal set in a Hilbert space is proposed. The algorithm is stable to nonuniform perturbations of the operators. A key condition for its application is that we know an estimate for

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::66bc40099b3f0ad3f12c009b15162b6f
https://doi.org/10.1134/s0965542516020068

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Numerical solution of the positional boundary control problem for the wave equation with unknown initial data

Autor: M. M. Potapov, A. A. Dryazhenkov

Publikováno v: Trudy Instituta Matematiki i Mekhaniki UrO RAN. 22:138-146

The problem of one-sided boundary Neumann control is considered for the onedimensional wave equation. Information about the initial state of the process is absent. Instead, the values of Dirichlet observations are received in real time at the control

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a7147ecc147b4eec4509d941f625303
https://doi.org/10.21538/0134-4889-2016-22-2-138-146

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