An optimal control problem by parabolic equation with boundary smooth control and an integral constraint

Alexander Arguchintsev;  ; Vasilisa Poplevko

doi:10.3934/naco.2018011

An optimal control problem by parabolic equation with boundary smooth control and an integral constraint

Numerical Algebra Control & Optimization ◽

10.3934/naco.2018011 ◽

2018 ◽

Vol 8 (2) ◽

pp. 193-202

Author(s):

Alexander Arguchintsev ◽

◽

Vasilisa Poplevko

Keyword(s):

Optimal Control ◽

Parabolic Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Integral Constraint ◽

Smooth Control

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Discretization of a Distributed Optimal Control Problem with a Stochastic Parabolic Equation Driven by Multiplicative Noise

Journal of Scientific Computing ◽

10.1007/s10915-021-01480-5 ◽

2021 ◽

Vol 87 (3) ◽

Author(s):

Binjie Li ◽

Qin Zhou

Keyword(s):

Optimal Control ◽

Parabolic Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Multiplicative Noise ◽

Distributed Optimal Control ◽

Stochastic Parabolic Equation

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On optimal control problem for moving sources for a parabolic equation

Journal of Computer and Systems Sciences International ◽

10.1134/s1064230716020064 ◽

2016 ◽

Vol 55 (2) ◽

pp. 179-188 ◽

Cited By ~ 1

Author(s):

R. A. Teymurov

Keyword(s):

Optimal Control ◽

Parabolic Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Moving Sources

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An optimal control problem for a parabolic equation in the class of smooth controls

Russian Mathematics ◽

10.3103/s1066369x16110086 ◽

2016 ◽

Vol 60 (11) ◽

pp. 74-77

Author(s):

A. V. Arguchintsev ◽

V. P. Poplevko

Keyword(s):

Optimal Control ◽

Parabolic Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Smooth Controls

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Difference approximation of the optimal control problem for a parabolic equation with the quality criteria in border areas

Actual directions of scientific researches of the XXI century theory and practice ◽

10.12737/4764 ◽

2014 ◽

Vol 2 (4) ◽

pp. 299-302

Author(s):

R. Kasumov

Keyword(s):

Optimal Control ◽

Parabolic Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Quality Criteria ◽

Difference Approximation ◽

Border Areas

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Optimal control problem governed by a semilinear parabolic equation

System Modelling and Optimization ◽

10.1007/978-0-387-34897-1_23 ◽

1996 ◽

pp. 211-217 ◽

Cited By ~ 3

Author(s):

Jean-Piere Raymond ◽

Housnaa Zidani

Keyword(s):

Optimal Control ◽

Parabolic Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Semilinear Parabolic Equation ◽

Semilinear Parabolic

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An optimal control problem for a parabolic equation in non-cylindrical domains

Systems & Control Letters ◽

10.1016/0167-6911(88)90114-4 ◽

1988 ◽

Vol 11 (1) ◽

pp. 73-77 ◽

Cited By ~ 13

Author(s):

G. Da Prato ◽

J.P. Zolésio

Keyword(s):

Optimal Control ◽

Parabolic Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Cylindrical Domains

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Numerical solution to optimal control problem for a quasi-nonlinear parabolic equation

2012 IV International Conference "Problems of Cybernetics and Informatics" (PCI) ◽

10.1109/icpci.2012.6486450 ◽

2012 ◽

Author(s):

Saftar Huseynov ◽

Sevinj Karimova

Keyword(s):

Optimal Control ◽

Parabolic Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Numerical Solution ◽

Nonlinear Parabolic Equation ◽

Nonlinear Parabolic

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Optimal control problem governed by semilinear parabolic equation and its algorithm

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-005-5062-6 ◽

2008 ◽

Vol 24 (1) ◽

pp. 29-40

Author(s):

Chun-fa Li ◽

Xue Yang ◽

En-min Feng

Keyword(s):

Optimal Control ◽

Parabolic Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Semilinear Parabolic Equation ◽

Semilinear Parabolic

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Optimal control problem of coefficients a quasilinear parabolic equation

Actual directions of scientific researches of the XXI century theory and practice ◽

10.12737/14452 ◽

2015 ◽

Vol 3 (5) ◽

pp. 46-49

Author(s):

R. Kasumov

Keyword(s):

Optimal Control ◽

Parabolic Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Quasilinear Parabolic Equation ◽

Quasilinear Parabolic

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An Optimal Control Problem in Coefficients for a Strongly Degenerate Parabolic Equation with Interior Degeneracy

Journal of Optimization Theory and Applications ◽

10.1007/s10957-017-1077-4 ◽

2017 ◽

Vol 173 (1) ◽

pp. 56-77 ◽

Cited By ~ 1

Author(s):

Gabriela Marinoschi ◽

Rosa Maria Mininni ◽

Silvia Romanelli

Keyword(s):

Optimal Control ◽

Parabolic Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Degenerate Parabolic Equation ◽

Degenerate Parabolic ◽

Interior Degeneracy ◽

Strongly Degenerate

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