Second-Order Necessary Optimality Conditions for Abnormal Problems and Their Applications

Lecture Notes in Control and Information Sciences - Proceedings - Stability, Control and Differential Games ◽

10.1007/978-3-030-42831-0_9 ◽

2020 ◽

pp. 99-105

Author(s):

Aram V. Arutyunov

Keyword(s):

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

Abnormal Problems

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First and second order necessary optimality conditions for controlled stochastic evolution equations with control and state constraints

Journal of Differential Equations ◽

10.1016/j.jde.2019.09.045 ◽

2020 ◽

Vol 268 (6) ◽

pp. 2949-3015

Author(s):

Hélène Frankowska ◽

Qi Lü

Keyword(s):

Optimality Conditions ◽

State Constraints ◽

Evolution Equations ◽

Necessary Optimality Conditions ◽

Second Order ◽

Stochastic Evolution ◽

Stochastic Evolution Equations ◽

Control And State Constraints

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On second-order necessary optimality conditions in the classical sense for systems with nonlocal conditions

Differential Equations ◽

10.1134/s0012266112040179 ◽

2012 ◽

Vol 48 (4) ◽

pp. 614-617 ◽

Author(s):

Ya. A. Sharifov ◽

N. B. Mamedova

Keyword(s):

Optimality Conditions ◽

Nonlocal Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

Classical Sense

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Second-order necessary optimality conditions via directional regularity

Optimization ◽

10.1080/02331939608844203 ◽

1996 ◽

Vol 37 (2) ◽

pp. 113-124 ◽

Author(s):

M. Studniarski ◽

X.Q. Yang

Keyword(s):

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

Directional Regularity

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Second order necessary optimality conditions for minimizing a sup-type function

Mathematical Programming ◽

10.1007/bf01588788 ◽

1990 ◽

Vol 49 (1-3) ◽

pp. 213-229 ◽

Author(s):

H. Kawasaki

Keyword(s):

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

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Second-order necessary optimality conditions in state constrained optimal control

52nd IEEE Conference on Decision and Control ◽

10.1109/cdc.2013.6759938 ◽

2013 ◽

Author(s):

Daniel Hoehener

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

Constrained 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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On strong and weak second-order necessary optimality conditions for nonlinear programming

Optimization ◽

10.1080/02331934.2016.1179300 ◽

2016 ◽

Vol 65 (9) ◽

pp. 1693-1702 ◽

Author(s):

L. Minchenko ◽

A. Leschov

Keyword(s):

Nonlinear Programming ◽

Optimality Conditions ◽

Necessary Optimality Conditions ◽

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Necessary Optimality Conditions for Mathematical Programs with Second-Order Cone Complementarity Constraints

Set-Valued and Variational Analysis ◽

10.1007/s11228-013-0250-7 ◽

2013 ◽

Vol 22 (1) ◽

pp. 59-78 ◽

Author(s):

Yan-Chao Liang ◽

Xi-De Zhu ◽

Gui-Hua Lin

Keyword(s):

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

Complementarity Constraints ◽

Mathematical Programs ◽

Second Order Cone

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Pointwise Second-Order Necessary Optimality Conditions for the Mayer Problem with Control Constraints

SIAM Journal on Control and Optimization ◽

10.1137/130906799 ◽

2013 ◽

Vol 51 (5) ◽

pp. 3814-3843 ◽

Author(s):

Hélène Frankowska ◽

Daniela Tonon

Keyword(s):

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

Control Constraints ◽

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Locally Lipschitz vector optimization problems: second-order constraint qualifications, regularity condition and KKT necessary optimality conditions

10.1007/s11117-019-00679-z ◽

2019 ◽

Vol 24 (2) ◽

pp. 313-337 ◽

Author(s):

Yi-Bin Xiao ◽

Nguyen Van Tuyen ◽

Jen-Chih Yao ◽

Ching-Feng Wen

Keyword(s):

Optimality Conditions ◽

Vector Optimization ◽

Regularity Condition ◽

Optimization Problems ◽

Constraint Qualifications ◽

Necessary Optimality Conditions ◽

Second Order ◽

Vector Optimization Problems ◽

Order Constraint ◽

Locally Lipschitz

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