Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints

SIAM Journal on Optimization ◽

10.1137/07068240x ◽

2008 ◽

Vol 19 (2) ◽

pp. 616-643 ◽

Author(s):

Eduardo Casas ◽

Juan Carlos de los Reyes ◽

Fredi Tröltzsch

Keyword(s):

Optimality Conditions ◽

State Constraints ◽

Second Order ◽

Control Problems ◽

Pointwise State Constraints ◽

Second Order Optimality Conditions

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Variational Approach to Second-Order Optimality Conditions for Control Problems with Pure State Constraints

SIAM Journal on Control and Optimization ◽

10.1137/110828320 ◽

2012 ◽

Vol 50 (3) ◽

pp. 1139-1173 ◽

Author(s):

Daniel Hoehener

Keyword(s):

Optimality Conditions ◽

Variational Approach ◽

State Constraints ◽

Second Order ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Pure State Constraints

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Second Order Optimality Conditions for Semilinear Elliptic Control Problems with Finitely Many State Constraints

SIAM Journal on Control and Optimization ◽

10.1137/s0363012900382011 ◽

2002 ◽

Vol 40 (5) ◽

pp. 1431-1454 ◽

Author(s):

Eduardo Casas ◽

Mariano Mateos

Keyword(s):

Optimality Conditions ◽

State Constraints ◽

Second Order ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Semilinear Elliptic ◽

Elliptic Control Problems

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Second Order Optimality Conditions for Some Control Problems of Semilinear Elliptic Equations with Integral State Constraints

Optimal Control of Partial Differential Equations ◽

10.1007/978-3-0348-8691-8_8 ◽

1999 ◽

pp. 89-97

Author(s):

Eduardo Casas ◽

Fredi Tröltzsch ◽

Andreas Unger

Keyword(s):

Optimality Conditions ◽

Elliptic Equations ◽

State Constraints ◽

Second Order ◽

Semilinear Elliptic Equations ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Semilinear Elliptic

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First- and second-order optimality conditions for a strong local minimum in control problems with pure state constraints

Nonlinear Analysis ◽

10.1016/j.na.2006.08.046 ◽

2007 ◽

Vol 67 (8) ◽

pp. 2506-2526 ◽

Author(s):

Zsolt Páles ◽

Vera Zeidan

Keyword(s):

Optimality Conditions ◽

Local Minimum ◽

State Constraints ◽

Second Order ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Pure State Constraints ◽

Strong Local Minimum

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Second Order Sufficient Optimality Conditions for Parabolic Optimal Control Problems with Pointwise State Constraints

SIAM Journal on Control and Optimization ◽

10.1137/120871687 ◽

2013 ◽

Vol 51 (1) ◽

pp. 304-331 ◽

Author(s):

K. Krumbiegel ◽

J. Rehberg

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

State Constraints ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Sufficient Optimality Conditions ◽

Pointwise State Constraints ◽

Parabolic Optimal Control

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Second-Order Optimality Conditions for Weak and Strong Local Solutions of Parabolic Optimal Control Problems

Vietnam Journal of Mathematics ◽

10.1007/s10013-015-0175-6 ◽

2015 ◽

Vol 44 (1) ◽

pp. 181-202 ◽

Author(s):

Eduardo Casas ◽

Fredi Tröltzsch

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Local Solutions ◽

Parabolic Optimal Control

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On second-order optimality conditions for optimal control problems governed by the obstacle problem

Optimization ◽

10.1080/02331934.2020.1778686 ◽

2020 ◽

pp. 1-41

Author(s):

Constantin Christof ◽

Gerd Wachsmuth

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Obstacle Problem ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Second Order Optimality Conditions

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Sufficient Second-Order Optimality Conditions for a Parabolic Optimal Control Problem with Pointwise Control-State Constraints

SIAM Journal on Control and Optimization ◽

10.1137/s0363012902403262 ◽

2003 ◽

Vol 42 (1) ◽

pp. 138-154 ◽

Author(s):

A. Rösch ◽

F. Tröltzsch

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

State Constraints ◽

Second Order ◽

Second Order Optimality Conditions ◽

Parabolic Optimal Control ◽

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Necessary and sufficient optimality conditions for elliptic control problems with finitely many pointwise state constraints

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv:2007063 ◽

2007 ◽

Vol 14 (3) ◽

pp. 575-589 ◽

Author(s):

Eduardo Casas

Keyword(s):

Optimality Conditions ◽

State Constraints ◽

Control Problems ◽

Sufficient Optimality Conditions ◽

Pointwise State Constraints ◽

Elliptic Control Problems ◽

Necessary And Sufficient

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Second-Order Optimality Conditions for Boundary Control Problems with Mixed Pointwise Constraints

SIAM Journal on Optimization ◽

10.1137/15m1033629 ◽

2016 ◽

Vol 26 (3) ◽

pp. 1912-1943 ◽

Author(s):

N. H. Son ◽

B. T. Kien ◽

A. Rösch

Keyword(s):

Optimality Conditions ◽

Boundary Control ◽

Second Order ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Boundary Control Problems ◽

Pointwise Constraints

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