Optimization of the boundary control by a displacement or by an elastic force on one end of a string under a model nonlocal boundary condition

被引：0

作者：

V. A. Il’in

机构：

[1] Moscow State University,Steklov Mathematical Institute

[2] Russian Academy of Sciences,undefined

来源：

Proceedings of the Steklov Institute of Mathematics | 2010年 / 268卷

关键词：

Wave Equation; STEKLOV Institute; Boundary Control; Elastic Force; Quiescent State;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

An explicit analytic expression is obtained for optimal boundary controls exercised on one end of a string by a displacement or by an elastic force under a model nonlocal boundary condition of one of four types.

引用

页码：117 / 129

页数：12

共 50 条

[1] Optimization of the boundary control by a displacement or by an elastic force on one end of a string under a model nonlocal boundary condition
Il'in, V. A.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2010, 268 (01) : 117 - 129
[2] 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
Il'in, V. A.
DOKLADY MATHEMATICS, 2008, 77 (03) : 407 - 411
[3] 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
V. A. Il’in
Doklady Mathematics, 2008, 77 : 407 - 411
[4] Optimization of boundary control at one end of a string in the presence of a model nonlocal condition
Il'in, V. A.
AUTOMATION AND REMOTE CONTROL, 2009, 70 (04) : 566 - 576
[5] Optimization of boundary control at one end of a string in the presence of a model nonlocal condition
V. A. Il’in
Automation and Remote Control, 2009, 70 : 566 - 576
[6] Boundary Displacement Control at One End of a String in the Presence of a Nonlocal Boundary Condition of One of Four Types, and Its Optimization
Il'in, V. A.
DIFFERENTIAL EQUATIONS, 2008, 44 (11) : 1548 - 1558
[7] Boundary displacement control at one end of a string in the presence of a nonlocal boundary condition of one of four types, and its optimization
V. A. Il’in
Differential Equations, 2008, 44 : 1548 - 1558
[8] 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
Il'in, V. A.
DOKLADY MATHEMATICS, 2008, 77 (03) : 391 - 395
[9] 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
V. A. Il’in
Doklady Mathematics, 2008, 77 : 391 - 395
[10] 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
Il'in, V. A.
DIFFERENTIAL EQUATIONS, 2009, 45 (04) : 602 - 611

← 1 2 3 4 5 →