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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Sufficient Second‐Order Optimality Conditions for an Elliptic Optimal Control Problem with Pointwise Control‐State Constraints

SIAM Journal on Optimization ◽

10.1137/050625850 ◽

2006 ◽

Vol 17 (3) ◽

pp. 776-794 ◽

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 ◽

Elliptic Optimal Control Problem ◽

Elliptic Optimal Control ◽

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Second-Order Optimality Conditions for a Semilinear Elliptic Optimal Control Problem with Mixed Pointwise Constraints

Set-Valued and Variational Analysis ◽

10.1007/s11228-016-0373-8 ◽

2016 ◽

Vol 25 (1) ◽

pp. 177-210 ◽

Author(s):

B. T. Kien ◽

V. H. Nhu ◽

N. H. Son

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Second Order ◽

Second Order Optimality Conditions ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problem ◽

Elliptic Optimal Control ◽

Pointwise Constraints

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Necessary first and second order optimality conditions in a discrete optimal control problem

Automatic Control and Computer Sciences ◽

10.3103/s0146411613010021 ◽

2013 ◽

Vol 47 (1) ◽

pp. 7-14

Author(s):

R. R. Amirova ◽

K. B. Mansimov

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Second Order ◽

Second Order Optimality Conditions ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem

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Second-order optimality conditions in a discrete optimal control problem

Optimization ◽

10.1080/02331930601125044 ◽

2008 ◽

Vol 57 (4) ◽

pp. 539-548 ◽

Author(s):

B. Marinković

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Second Order ◽

Second Order Optimality Conditions ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem

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No-gap optimality conditions for an optimal control problem with pointwise control-state constraints

Applicable Analysis ◽

10.1080/00036811.2017.1416102 ◽

2017 ◽

Vol 98 (6) ◽

pp. 1120-1142

Author(s):

Nguyen Hai Son ◽

Tran Minh Nguyet

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

State Constraints ◽

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On the No-Gap Second-Order Optimality Conditions for a Discrete Optimal Control Problem with Mixed Constraints

Journal of Optimization Theory and Applications ◽

10.1007/s10957-017-1094-3 ◽

2017 ◽

Vol 173 (2) ◽

pp. 421-442

Author(s):

Le Quang Thuy ◽

Bui Thi Thanh ◽

Nguyen Thi Toan

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Second Order ◽

Mixed Constraints ◽

Second Order Optimality Conditions ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem

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An interior point method for a parabolic optimal control problem with regularized pointwise state constraints

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.200610337 ◽

2007 ◽

Vol 87 (8-9) ◽

pp. 564-589 ◽

Author(s):

U. Prüfert ◽

F. Tröltzsch

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Interior Point ◽

Interior Point Method ◽

State Constraints ◽

Point Method ◽

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 an Elliptic Optimal Control Problem with Pointwise Mixed Control-State Constraints

Lecture Notes in Economics and Mathematical Systems - Recent Advances in Optimization ◽

10.1007/3-540-28258-0_12 ◽

2006 ◽

pp. 187-204 ◽

Author(s):

Christian Meyer ◽

Fredi Tröltzsch

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

State Constraints ◽

Mixed Control ◽

Elliptic Optimal Control Problem ◽

Elliptic Optimal Control ◽

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Second-Order Necessary Optimality Conditions for a Discrete Optimal Control Problem

Journal of Optimization Theory and Applications ◽

10.1007/s10957-014-0648-x ◽

2014 ◽

Vol 165 (3) ◽

pp. 812-836 ◽

Author(s):

N. T. Toan ◽

Q. H. Ansari ◽

J.-C. Yao

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem

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