Second order sufficient optimality conditions for nonlinear parabolic control problems with state constraints

J.-P. Raymond;  ; F. Tröltzsch;

doi:10.3934/dcds.2000.6.431

Second order sufficient optimality conditions for nonlinear parabolic control problems with state constraints

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2000.6.431 ◽

2000 ◽

Vol 6 (2) ◽

pp. 431-450 ◽

Cited By ~ 45

Author(s):

J.-P. Raymond ◽

◽

F. Tröltzsch ◽

Keyword(s):

Optimality Conditions ◽

State Constraints ◽

Second Order ◽

Control Problems ◽

Sufficient Optimality Conditions ◽

Nonlinear Parabolic

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Second-Order Sufficient Optimality Conditions for a Class of Nonlinear Parabolic Boundary Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/0331045 ◽

1993 ◽

Vol 31 (4) ◽

pp. 1007-1025 ◽

Cited By ~ 42

Author(s):

H. Goldberg ◽

F. Tröltzsch

Keyword(s):

Optimality Conditions ◽

Boundary Control ◽

Second Order ◽

Control Problems ◽

Sufficient Optimality Conditions ◽

Parabolic Boundary ◽

Nonlinear Parabolic ◽

Boundary Control Problems

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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 ◽

Cited By ~ 18

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 sufficient optimality conditions for control problems with linearly independent gradients of control constraints

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv/2011101 ◽

2011 ◽

Vol 18 (2) ◽

pp. 452-482 ◽

Cited By ~ 6

Author(s):

Nikolai P. Osmolovskii

Keyword(s):

Optimality Conditions ◽

Second Order ◽

Control Problems ◽

Sufficient Optimality Conditions ◽

Control Constraints ◽

Linearly Independent

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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 ◽

Cited By ~ 27

Author(s):

Daniel Hoehener

Keyword(s):

Optimality Conditions ◽

Pure State ◽

Variational Approach ◽

State Constraints ◽

Second Order ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Pure State Constraints

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Sufficient Optimality Conditions for Optimal Control Problems with State Constraints

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2018.1562469 ◽

2019 ◽

Vol 40 (8) ◽

pp. 867-887

Author(s):

Valeriano Antunes de Oliveira ◽

Geraldo Nunes Silva

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

State Constraints ◽

Optimal Control Problems ◽

Control Problems ◽

Sufficient Optimality Conditions

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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 ◽

Cited By ~ 58

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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Second order sufficient optimality conditions for a class of elliptic control problems

ESAIM Proceedings ◽

10.1051/proc:1998034 ◽

1998 ◽

Vol 4 ◽

pp. 285-300

Author(s):

E. Casas ◽

F. Tröltzsch ◽

A. Unger

Keyword(s):

Optimality Conditions ◽

Second Order ◽

Control Problems ◽

Sufficient Optimality Conditions ◽

Elliptic Control Problems

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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 ◽

Cited By ~ 5

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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Arrow-type sufficient optimality conditions for nondifferentiable optimal control problems with state constraints

Applied Mathematics & Optimization ◽

10.1007/bf01442238 ◽

1986 ◽

Vol 14 (1) ◽

pp. 229-247 ◽

Cited By ~ 4

Author(s):

Richard F. Hartl

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

State Constraints ◽

Optimal Control Problems ◽

Control Problems ◽

Sufficient Optimality Conditions

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Second order necessary and sufficient optimality conditions for singular solutions of partially-affine control problems

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2018070 ◽

2018 ◽

Vol 11 (6) ◽

pp. 1233-1258

Author(s):

M. Soledad Aronna ◽

Keyword(s):

Optimality Conditions ◽

Second Order ◽

Singular Solutions ◽

Control Problems ◽

Sufficient Optimality Conditions ◽

Necessary And Sufficient

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