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 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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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 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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Optimization of boundary controls by elastic boundary forces at two ends of a string during an arbitrary sufficiently large time interval T

Doklady Mathematics ◽

10.1134/s1064562407060233 ◽

2007 ◽

Vol 76 (3) ◽

pp. 896-903 ◽

Author(s):

V. A. Il’in ◽

E. I. Moiseev

Keyword(s):

Time Interval ◽

Large Time Interval ◽

Elastic Boundary ◽

Boundary Controls

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Optimization of boundary controls by displacements at two ends of a string during an arbitrary sufficiently large time interval

Doklady Mathematics ◽

10.1134/s1064562407060075 ◽

2007 ◽

Vol 76 (3) ◽

pp. 828-834 ◽

Author(s):

V. A. Il’in ◽

E. I. Moiseev

Keyword(s):

Time Interval ◽

Large Time Interval ◽

Boundary Controls

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Optimization of boundary controls by displacements at two ends of a string for an arbitrary sufficiently large time interval

Differential Equations ◽

10.1134/s0012266107110122 ◽

2007 ◽

Vol 43 (11) ◽

pp. 1569-1584 ◽

Author(s):

V. A. Il’in ◽

E. I. Moiseev

Keyword(s):

Time Interval ◽

Large Time Interval ◽

Boundary Controls

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

Doklady Mathematics ◽

10.1134/s1064562407060142 ◽

2007 ◽

Vol 76 (3) ◽

pp. 861-865 ◽

Author(s):

V. A. Il’in ◽

E. I. Moiseev

Keyword(s):

Time Interval ◽

Large Time Interval ◽

Elastic Boundary ◽

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Optimization of the control by elastic boundary forces at two ends of a string in an arbitrarily large time interval

Differential Equations ◽

10.1134/s0012266108010096 ◽

2008 ◽

Vol 44 (1) ◽

pp. 92-114 ◽

Author(s):

V. A. Il’in ◽

E. I. Moiseev

Keyword(s):

Time Interval ◽

Large Time Interval ◽

Elastic Boundary

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Numerical-Analytical Algorithms for Nonlinear Optimal Control Problems on a Large Time Interval

Springer Proceedings in Mathematics & Statistics - Dynamical Systems in Theoretical Perspective ◽

10.1007/978-3-319-96598-7_10 ◽

2018 ◽

pp. 113-124

Author(s):

Yulia Danik ◽

Mikhail Dmitriev ◽

Dmitry Makarov ◽

Tatiana Zarodnyuk

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Nonlinear Optimal Control ◽

Control Problems ◽

Time Interval ◽

Large Time Interval

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