Optimal boundary control of string vibrations with a model nonlocal boundary condition of one of two types

Doklady Mathematics ◽

10.1134/s1064562411020098 ◽

2011 ◽

Vol 83 (2) ◽

pp. 171-174 ◽

Author(s):

A. A. Kholomeeva

Keyword(s):

Boundary Condition ◽

Boundary Control ◽

Nonlocal Boundary Condition ◽

Nonlocal Boundary ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

String Vibrations

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An analytic form of an optimal boundary control by displacement at one end of a string under a model nonlocal boundary condition of one of four types

Doklady Mathematics ◽

10.1134/s1064562408030198 ◽

2008 ◽

Vol 77 (3) ◽

pp. 391-395 ◽

Author(s):

V. A. Il’in

Keyword(s):

Boundary Condition ◽

Boundary Control ◽

Nonlocal Boundary Condition ◽

Nonlocal Boundary ◽

Analytic Form ◽

Optimal Boundary ◽

Optimal Boundary Control

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Optimization of an optimal boundary control by an elastic force at one end of a string under a model nonlocal boundary condition of one of four types

Doklady Mathematics ◽

10.1134/s1064562408030241 ◽

2008 ◽

Vol 77 (3) ◽

pp. 407-411 ◽

Author(s):

V. A. Il’in

Keyword(s):

Boundary Condition ◽

Boundary Control ◽

Nonlocal Boundary Condition ◽

Nonlocal Boundary ◽

Elastic Force ◽

Optimal Boundary ◽

Optimal Boundary Control

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Optimal boundary control of string vibrations by a force under elastic fixing

Differential Equations ◽

10.1134/s0012266111120081 ◽

2011 ◽

Vol 47 (12) ◽

pp. 1796-1805 ◽

Author(s):

A. A. Nikitin

Keyword(s):

Boundary Control ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

String Vibrations

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On the problem of optimal boundary control of vibrations of a spherical layer by a special third boundary condition

Differential Equations ◽

10.1134/s0012266110010143 ◽

2010 ◽

Vol 46 (1) ◽

pp. 132-141

Author(s):

S. A. Sergeev

Keyword(s):

Boundary Condition ◽

Boundary Control ◽

Spherical Layer ◽

Optimal Boundary ◽

Optimal Boundary Control

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Optimal Boundary Control of a Viscous Cahn--Hilliard System with Dynamic Boundary Condition and Double Obstacle Potentials

SIAM Journal on Control and Optimization ◽

10.1137/140984749 ◽

2015 ◽

Vol 53 (4) ◽

pp. 2696-2721 ◽

Author(s):

Pierluigi Colli ◽

M. Hassan Farshbaf-Shaker ◽

Gianni Gilardi ◽

Jürgen Sprekels

Keyword(s):

Boundary Condition ◽

Boundary Control ◽

Dynamic Boundary Condition ◽

Optimal Boundary ◽

Dynamic Boundary ◽

Optimal Boundary Control

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On One Problem in Optimal Boundary Control for String Vibrations with a Given Velocity of Points at an Intermediate Moment of Time

10.1109/rusautocon52004.2021.9537514 ◽

2021 ◽

Author(s):

Vanya Barseghyan ◽

Svetlana Solodusha

Keyword(s):

Boundary Control ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

String Vibrations

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On an optimal boundary control problem with a dynamic boundary condition

Differential Equations ◽

10.1134/s0012266113050133 ◽

2013 ◽

Vol 49 (5) ◽

pp. 640-644 ◽

Author(s):

E. I. Moiseev ◽

A. A. Kholomeeva

Keyword(s):

Boundary Condition ◽

Control Problem ◽

Boundary Control ◽

Dynamic Boundary Condition ◽

Optimal Boundary ◽

Boundary Control Problem ◽

Dynamic Boundary ◽

Optimal Boundary Control

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Optimal Boundary Control of String Vibrations with Given Shape of Deflection at a Certain Moment of Time

Mathematical Optimization Theory and Operations Research - Lecture Notes in Computer Science ◽

10.1007/978-3-030-77876-7_20 ◽

2021 ◽

pp. 299-313

Author(s):

V. Barseghyan ◽

S. Solodusha

Keyword(s):

Boundary Control ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

String Vibrations

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Boundary control by an elastic force at one endpoint of the string in the presence of a model nonlocal boundary condition of one of four types, and its optimization

Differential Equations ◽

10.1134/s0012266109040132 ◽

2009 ◽

Vol 45 (4) ◽

pp. 602-611

Author(s):

V. A. Il’in

Keyword(s):

Boundary Condition ◽

Boundary Control ◽

Nonlocal Boundary Condition ◽

Nonlocal Boundary ◽

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On an optimal boundary control problem for 1-D wave equation with a damping boundary condition

10.1063/1.4854762 ◽

2013 ◽

Author(s):

A. A. Kholomeeva ◽

E. I. Moiseev

Keyword(s):

Boundary Condition ◽

Wave Equation ◽

Control Problem ◽

Boundary Control ◽

Optimal Boundary ◽

Boundary Control Problem ◽

Optimal Boundary Control ◽

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