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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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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Necessary Second-Order Optimality Conditions in Distributed-Boundary Semilinear Elliptic Optimal Control with Twice Directionally Differentiable Functions

Results in Mathematics ◽

10.1007/s00025-019-1051-6 ◽

2019 ◽

Vol 74 (4) ◽

Author(s):

Tuan Nguyen Dinh

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Second Order ◽

Second Order Optimality Conditions ◽

Differentiable Functions ◽

Semilinear Elliptic ◽

Elliptic Optimal Control

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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 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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Second-Order Necessary Optimality Conditions for a Class of Semilinear Elliptic Optimal Control Problems with Mixed Pointwise Constraints

SIAM Journal on Control and Optimization ◽

10.1137/130917570 ◽

2014 ◽

Vol 52 (2) ◽

pp. 1166-1202 ◽

Author(s):

B. T. Kien ◽

V. H. Nhu

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Necessary Optimality Conditions ◽

Second Order ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

Pointwise Constraints

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On the no-gap second-order optimality conditions for a non-smooth semilinear elliptic optimal control

Optimization ◽

10.1080/02331934.2021.1939698 ◽

2021 ◽

pp. 1-31

Author(s):

Vu Huu Nhu

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Second Order ◽

Second Order Optimality Conditions ◽

Semilinear Elliptic ◽

Elliptic Optimal Control

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Sequence-based necessary second-order optimality conditions for semilinear elliptic optimal control problems with nonsmooth data

10.1007/s11117-018-0602-5 ◽

2018 ◽

Vol 23 (1) ◽

pp. 195-217 ◽

Author(s):

Tuan Nguyen Dinh

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Nonsmooth Data ◽

Second Order Optimality Conditions ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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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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Lower semicontinuity of the solution map to a parametric elliptic optimal control problem with mixed pointwise constraints

Optimization ◽

10.1080/02331934.2013.853060 ◽

2014 ◽

Vol 64 (5) ◽

pp. 1219-1238 ◽

Author(s):

B.T. Kien ◽

V.H. Nhu ◽

A. Rösch

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Lower Semicontinuity ◽

Solution Map ◽

Elliptic Optimal Control Problem ◽

Elliptic Optimal Control ◽

Pointwise Constraints

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