Second-order necessary conditions for optimality in nonsmooth nonlinear programming

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(91)90039-3 ◽

1991 ◽

Vol 154 (2) ◽

pp. 303-317 ◽

Author(s):

Marcin Studniarski

Keyword(s):

Nonlinear Programming ◽

Necessary Conditions ◽

Second Order ◽

Necessary Conditions For Optimality ◽

Second Order Necessary Conditions

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Marginal values and second-order necessary conditions for optimality

Mathematical Programming ◽

10.1007/bf02591866 ◽

1983 ◽

Vol 26 (3) ◽

pp. 245-286 ◽

Author(s):

R. Tyrrel Rockafellar

Keyword(s):

Necessary Conditions ◽

Second Order ◽

Necessary Conditions For Optimality ◽

Marginal Values ◽

Second Order Necessary Conditions

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A new result on second-order necessary conditions for nonlinear programming

Operations Research Letters ◽

10.1016/j.orl.2014.12.013 ◽

2015 ◽

Vol 43 (1) ◽

pp. 117-122 ◽

Author(s):

Chungen Shen ◽

Wenjuan Xue ◽

Yu’e An

Keyword(s):

Nonlinear Programming ◽

Necessary Conditions ◽

Second Order ◽

Second Order Necessary Conditions

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First-order and second-order necessary conditions for optimality of singular controls

International Journal of Control ◽

10.1080/00207178908559720 ◽

1989 ◽

Vol 49 (5) ◽

pp. 1473-1487

Author(s):

Hansheng Wu

Keyword(s):

Necessary Conditions ◽

Second Order ◽

Singular Controls ◽

First Order ◽

Necessary Conditions For Optimality ◽

Second Order Necessary Conditions

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Controllability and second-order necessary conditions for optimality

Sbornik Mathematics ◽

10.1070/sm9013 ◽

2019 ◽

Vol 210 (1) ◽

pp. 1-23 ◽

Author(s):

E. R. Avakov ◽

G. G. Magaril-Il’yaev

Keyword(s):

Necessary Conditions ◽

Second Order ◽

Necessary Conditions For Optimality ◽

Second Order Necessary Conditions

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Second order necessary conditions for nonsmooth optimum problems with constraints

World Congress of Nonlinear Analysts '92 ◽

10.1515/9783110883237.2337 ◽

1996 ◽

pp. 2337-2346

Keyword(s):

Necessary Conditions ◽

Second Order ◽

Second Order Necessary Conditions

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First- and second-order necessary conditions with respect to components for discrete optimal control problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112342 ◽

2020 ◽

Vol 364 ◽

pp. 112342

Author(s):

Misir J. Mardanov ◽

Telman K. Melikov ◽

Samin T. Malik ◽

Kamran Malikov

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Necessary Conditions ◽

Second Order ◽

Control Problems ◽

Discrete Optimal Control ◽

Second Order Necessary Conditions

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Second-order necessary conditions for differential–difference inclusion problems

Nonlinear Analysis ◽

10.1016/j.na.2005.04.018 ◽

2005 ◽

Vol 62 (6) ◽

pp. 963-974 ◽

Author(s):

Aurelian Cernea

Keyword(s):

Necessary Conditions ◽

Second Order ◽

Inclusion Problems ◽

Second Order Necessary Conditions ◽

Difference Inclusion

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Second-Order Necessary Conditions for a Strong Local Minimum in a Control Problem with General Control Constraints

Applied Mathematics & Optimization ◽

10.1007/s00245-017-9461-x ◽

2017 ◽

Vol 80 (1) ◽

pp. 135-164 ◽

Author(s):

Hélène Frankowska ◽

Nikolai P. Osmolovskii

Keyword(s):

Control Problem ◽

Local Minimum ◽

Necessary Conditions ◽

Second Order ◽

Control Constraints ◽

General Control ◽

Second Order Necessary Conditions ◽

Strong Local Minimum

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Second-Order Necessary Conditions in Pontryagin Form for Optimal Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/130923452 ◽

2014 ◽

Vol 52 (6) ◽

pp. 3887-3916 ◽

Author(s):

J. Frédéric Bonnans ◽

Xavier Dupuis ◽

Laurent Pfeiffer

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Necessary Conditions ◽

Second Order ◽

Control Problems ◽

Second Order Necessary Conditions ◽

Pontryagin Form

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Shape optimization analysis: First- and second-order necessary conditions

Optimal Control Applications and Methods ◽

10.1002/oca.4660110206 ◽

1990 ◽

Vol 11 (2) ◽

pp. 173-190 ◽

Author(s):

H. Cabuk ◽

V. Modi

Keyword(s):

Shape Optimization ◽

Necessary Conditions ◽

Second Order ◽

Optimization Analysis ◽

Second Order Necessary Conditions

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