Hamilton–Jacobi Equations Arising from Boundary Control Problems with State Constraints

Silvia Faggian

doi:10.1137/070683738

Hamilton–Jacobi Equations Arising from Boundary Control Problems with State Constraints

SIAM Journal on Control and Optimization ◽

10.1137/070683738 ◽

2008 ◽

Vol 47 (4) ◽

pp. 2157-2178 ◽

Cited By ~ 10

Author(s):

Silvia Faggian

Keyword(s):

Boundary Control ◽

State Constraints ◽

Control Problems ◽

Boundary Control Problems ◽

Jacobi Equations

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Source Representation Strategy for Optimal Boundary Control Problems with State Constraints

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/1380 ◽

2009 ◽

pp. 189-203 ◽

Cited By ~ 2

Author(s):

F. Tröltzsch ◽

I. Yousept

Keyword(s):

Boundary Control ◽

State Constraints ◽

Control Problems ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Boundary Control Problems

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A regularization method for the numerical solution of elliptic boundary control problems with pointwise state constraints

Computational Optimization and Applications ◽

10.1007/s10589-007-9114-0 ◽

2007 ◽

Vol 42 (1) ◽

pp. 43-66 ◽

Cited By ~ 20

Author(s):

F. Tröltzsch ◽

I. Yousept

Keyword(s):

Numerical Solution ◽

Boundary Control ◽

Regularization Method ◽

State Constraints ◽

Elliptic Boundary ◽

Control Problems ◽

Pointwise State Constraints ◽

Boundary Control Problems

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Infinite-Dimensional Hamilton–Jacobi Equations and Dirichlet Boundary Control Problems of Parabolic Type

SIAM Journal on Control and Optimization ◽

10.1137/s0363012994263354 ◽

1996 ◽

Vol 34 (6) ◽

pp. 1831-1847 ◽

Cited By ~ 19

Author(s):

Piermarco Cannarsa ◽

Maria Elisabetta Tessitore

Keyword(s):

Boundary Control ◽

Dirichlet Boundary ◽

Parabolic Type ◽

Control Problems ◽

Dirichlet Boundary Control ◽

Infinite Dimensional ◽

Boundary Control Problems ◽

Jacobi Equations

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Convex parabolic boundary control problems with pointwise state constraints

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(82)90165-2 ◽

1982 ◽

Vol 87 (1) ◽

pp. 256-277 ◽

Cited By ~ 29

Author(s):

Uwe Mackenroth

Keyword(s):

Boundary Control ◽

State Constraints ◽

Control Problems ◽

Parabolic Boundary ◽

Pointwise State Constraints ◽

Boundary Control Problems

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A Priori Error Analysis for Linear Quadratic Elliptic Neumann Boundary Control Problems with Control and State Constraints

SIAM Journal on Control and Optimization ◽

10.1137/090746148 ◽

2010 ◽

Vol 48 (8) ◽

pp. 5108-5142 ◽

Cited By ~ 9

Author(s):

K. Krumbiegel ◽

C. Meyer ◽

A. Rösch

Keyword(s):

Error Analysis ◽

Boundary Control ◽

State Constraints ◽

A Priori ◽

Neumann Boundary ◽

Control Problems ◽

Linear Quadratic ◽

A Priori Error Analysis ◽

Boundary Control Problems ◽

Control And State Constraints

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Optimal boundary control problems for shape memory alloys under state constraints for stress and temperature

Numerical Functional Analysis and Optimization ◽

10.1080/01630569808816840 ◽

1998 ◽

Vol 19 (5-6) ◽

pp. 489-498 ◽

Cited By ~ 7

Author(s):

Nikolaus Bubner ◽

Jan Sokolowski ◽

JÜrgen Sprekels

Keyword(s):

Shape Memory Alloys ◽

Shape Memory ◽

Boundary Control ◽

State Constraints ◽

Control Problems ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Boundary Control Problems

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Dealing with Integral State Constraints in Boundary Control Problems of Quasilinear Elliptic Equations

SIAM Journal on Control and Optimization ◽

10.1137/s0363012992234633 ◽

1995 ◽

Vol 33 (2) ◽

pp. 568-589 ◽

Cited By ~ 11

Author(s):

Eduardo Casas ◽

Luis A. Fernández

Keyword(s):

Boundary Control ◽

Elliptic Equations ◽

State Constraints ◽

Quasilinear Elliptic Equations ◽

Control Problems ◽

Boundary Control Problems ◽

Quasilinear Elliptic

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Regular Solutions of First-Order Hamilton?Jacobi Equations for Boundary Control Problems and Applications to Economics

Applied Mathematics & Optimization ◽

10.1007/s00245-004-0809-z ◽

2005 ◽

Vol 51 (2) ◽

pp. 123-162 ◽

Cited By ~ 14

Author(s):

Silvia Faggian

Keyword(s):

Boundary Control ◽

Control Problems ◽

Regular Solutions ◽

First Order ◽

Boundary Control Problems ◽

Jacobi Equations ◽

Applications To Economics

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Time-optimal parabolic boundary control problems with state constraints

Numerical Functional Analysis and Optimization ◽

10.1080/01630568108816091 ◽

1981 ◽

Vol 3 (3) ◽

pp. 285-300 ◽

Cited By ~ 4

Author(s):

Uwe Mackenroth

Keyword(s):

Boundary Control ◽

State Constraints ◽

Control Problems ◽

Parabolic Boundary ◽

Boundary Control Problems ◽

Time Optimal

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Unbounded observation and boundary control problems for Burgers equation

[1991] Proceedings of the 30th IEEE Conference on Decision and Control ◽

10.1109/cdc.1991.261841 ◽

2002 ◽

Cited By ~ 1

Author(s):

S. Kang ◽

K. Ito ◽

J.A. Burns

Keyword(s):

Boundary Control ◽

Burgers Equation ◽

Control Problems ◽

Boundary Control Problems

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