Optimal boundary control by the displacement of one endpoint of the string with the other endpoint being free in an arbitrarily large time interval

Differential Equations ◽

10.1134/s0012266107100084 ◽

2007 ◽

Vol 43 (10) ◽

pp. 1403-1414 ◽

Author(s):

V. A. Il’in ◽

E. I. Moiseev

Keyword(s):

Boundary Control ◽

The Other ◽

Time Interval ◽

Large Time Interval ◽

Optimal Boundary ◽

Optimal Boundary Control

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Optimal boundary control by an elastic force at one end of a string with the other end being free for an arbitrary sufficiently large time interval

Differential Equations ◽

10.1134/s0012266107120099 ◽

2007 ◽

Vol 43 (12) ◽

pp. 1697-1704 ◽

Author(s):

V. A. Il’in ◽

E. I. Moiseev

Keyword(s):

Boundary Control ◽

Elastic Force ◽

The Other ◽

Time Interval ◽

Large Time Interval ◽

Optimal Boundary ◽

Optimal Boundary Control

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Optimal boundary control by an elastic force at one end and a displacement at the other end for an arbitrary sufficiently large time interval in the string vibration problem

Differential Equations ◽

10.1134/s0012266109060093 ◽

2009 ◽

Vol 45 (6) ◽

pp. 878-888 ◽

Author(s):

L. I. Bloshanskaya ◽

I. N. Smirnov

Keyword(s):

Boundary Control ◽

Elastic Force ◽

The Other ◽

Time Interval ◽

Large Time Interval ◽

Optimal Boundary ◽

String Vibration ◽

Vibration Problem ◽

Optimal Boundary Control

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Optimal boundary control by a force at one end of a string with a given force mode at the other end

Differential Equations ◽

10.1134/s0012266111100144 ◽

2011 ◽

Vol 47 (10) ◽

pp. 1508-1513

Author(s):

E. I. Moiseev ◽

A. A. Kholomeeva

Keyword(s):

Boundary Control ◽

The Other ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

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Optimization of a boundary control by a displacement at one end of a string with second end free during an arbitrary sufficiently large time interval

Doklady Mathematics ◽

10.1134/s1064562407060026 ◽

2007 ◽

Vol 76 (3) ◽

pp. 806-811 ◽

Author(s):

V. A. Il’in ◽

E. I. Moiseev

Keyword(s):

Boundary Control ◽

Time Interval ◽

Large Time Interval

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Optimal boundary control of a string by an elastic force applied at one end, the other end being free

Differential Equations ◽

10.1007/s10625-005-0140-3 ◽

2005 ◽

Vol 41 (1) ◽

pp. 110-120 ◽

Author(s):

V. A. Il?in ◽

E. I. Moiseev

Keyword(s):

Boundary Control ◽

Elastic Force ◽

The Other ◽

Optimal Boundary ◽

Optimal Boundary Control

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Optimization of the boundary control of string vibrations by an elastic force on an arbitrary sufficiently large time interval

Differential Equations ◽

10.1134/s0012266106120123 ◽

2006 ◽

Vol 42 (12) ◽

pp. 1775-1786 ◽

Author(s):

V. A. Il’in ◽

E. I. Moiseev

Keyword(s):

Boundary Control ◽

Elastic Force ◽

Time Interval ◽

Large Time Interval ◽

String Vibrations

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Optimal boundary control by displacement at one end of a string under a given elastic force at the other end

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543812020125 ◽

2012 ◽

Vol 276 (S1) ◽

pp. 153-160 ◽

Author(s):

E. I. Moiseev ◽

A. A. Kholomeeva

Keyword(s):

Boundary Control ◽

Elastic Force ◽

The Other ◽

Optimal Boundary ◽

Optimal Boundary Control

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Optimal boundary control of forced vibrations by the displacement at one end of the string with the other end fixed

Differential Equations ◽

10.1134/s0012266114050103 ◽

2014 ◽

Vol 50 (5) ◽

pp. 677-688 ◽

Author(s):

M. F. Abdukarimov

Keyword(s):

Boundary Control ◽

Forced Vibrations ◽

The Other ◽

Optimal Boundary ◽

Optimal Boundary Control

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Computation of a Constrained Optimal Boundary Control for the Heat Equation

10.23919/acc.1982.4787846 ◽

1982 ◽

Author(s):

Thomas I. Seidman

Keyword(s):

Heat Equation ◽

Boundary Control ◽

Optimal Boundary ◽

Optimal Boundary Control

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Existence of optimal boundary control for the Navier–Stokes equations with mixed boundary conditions

Portugaliae Mathematica ◽

10.4171/pm/1968 ◽

2015 ◽

Vol 72 (2) ◽

pp. 267-283 ◽

Author(s):

Telma Guerra ◽

Adélia Sequeira ◽

Jorge Tiago

Keyword(s):

Boundary Conditions ◽

Boundary Control ◽

Stokes Equations ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Optimal Boundary ◽

Optimal Boundary Control

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