On Second Order Necessary Conditions of Optimality

E. J. Messerli; E. Polak

doi:10.1137/0307019

On Second Order Necessary Conditions of Optimality

SIAM Journal on Control ◽

10.1137/0307019 ◽

1969 ◽

Vol 7 (2) ◽

pp. 272-291 ◽

Cited By ~ 13

Author(s):

E. J. Messerli ◽

E. Polak

Keyword(s):

Necessary Conditions ◽

Second Order ◽

Necessary Conditions Of Optimality ◽

Second Order Necessary Conditions

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First and second order necessary conditions of optimality for impulsive control problems

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475) ◽

10.1109/cdc.2003.1272331 ◽

2004 ◽

Cited By ~ 6

Author(s):

A. Arutyunov ◽

V. Dykhta ◽

F. Pereira

Keyword(s):

Necessary Conditions ◽

Impulsive Control ◽

Second Order ◽

Control Problems ◽

Necessary Conditions Of Optimality ◽

Second Order Necessary Conditions

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Second order necessary conditions of optimality for stochastic systems with variable delay

Theory of Probability and Mathematical Statistics ◽

10.1090/s0094-9000-2012-00837-5 ◽

2011 ◽

Vol 83 ◽

pp. 1-12 ◽

Cited By ~ 1

Author(s):

Ch. A. Agayeva

Keyword(s):

Stochastic Systems ◽

Necessary Conditions ◽

Second Order ◽

Variable Delay ◽

Necessary Conditions Of Optimality ◽

Second Order Necessary Conditions

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Second order necessary conditions of optimality for impulsive control problems

2001 European Control Conference (ECC) ◽

10.23919/ecc.2001.7076348 ◽

2001 ◽

Cited By ~ 1

Author(s):

A. Arutyunov ◽

V. Jacimovic ◽

F. Pereira

Keyword(s):

Necessary Conditions ◽

Impulsive Control ◽

Second Order ◽

Control Problems ◽

Necessary Conditions Of Optimality ◽

Second Order Necessary Conditions

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Second order necessary conditions of optimality for impulsive control systems

Proceedings of the 41st IEEE Conference on Decision and Control, 2002. ◽

10.1109/cdc.2002.1184744 ◽

2003 ◽

Author(s):

A. Arutyunov ◽

V. Jacimovic ◽

F. Pereira

Keyword(s):

Control Systems ◽

Necessary Conditions ◽

Impulsive Control ◽

Second Order ◽

Necessary Conditions Of Optimality ◽

Second Order Necessary Conditions ◽

Impulsive Control Systems

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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 ◽

Cited By ~ 1

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 ◽

Cited By ~ 3

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 ◽

Cited By ~ 10

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 ◽

Cited By ~ 9

Author(s):

H. Cabuk ◽

V. Modi

Keyword(s):

Shape Optimization ◽

Necessary Conditions ◽

Second Order ◽

Optimization Analysis ◽

Second Order Necessary Conditions

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