The search for a counter-example in a class of optimal control problems II. Second-order systems

International Journal of Control ◽

10.1080/00207178108922519 ◽

1981 ◽

Vol 34 (1) ◽

pp. 153-158 ◽

Author(s):

D. J. BELL ◽

K. TURPIN

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Counter Example ◽

Second Order Systems

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Quadratic optimal control problems for nonlinear damped second order systems in Hilbert spaces

Nonlinear Analysis ◽

10.1016/s0362-546x(97)00137-5 ◽

1997 ◽

Vol 30 (4) ◽

pp. 2261-2272 ◽

Author(s):

Jun-Hong Ha ◽

Shin-Ichi Nakagiri

Keyword(s):

Optimal Control ◽

Hilbert Spaces ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Quadratic Optimal Control ◽

Second Order Systems

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Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2007.12.002 ◽

2009 ◽

Vol 26 (2) ◽

pp. 561-598 ◽

Author(s):

J. Frédéric Bonnans ◽

Audrey Hermant

Keyword(s):

Optimal Control ◽

State Constraints ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Order Analysis ◽

Mixed Control ◽

Pure State Constraints ◽

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Second-Order KKT Optimality Conditions for MultiObjective Optimal Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/17m1161750 ◽

2018 ◽

Vol 56 (6) ◽

pp. 4069-4097 ◽

Author(s):

Bui Trong Kien ◽

Nguyen Van Tuyen ◽

Jen-Chih Yao

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Kkt Optimality Conditions ◽

Multiobjective Optimal Control

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Optimal Control Problems for Some First and Second Order Differential Equations

Optimal control of differential equations ◽

10.1201/9781003072225-17 ◽

2020 ◽

pp. 271-279

Author(s):

Nicolae H. Pavel ◽

G. S. Wang ◽

Yong Kang Huang

Keyword(s):

Optimal Control ◽

Differential Equations ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Second Order Differential Equations

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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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Second-Order Conditions for Fuel-Optimal Control Problems with Variable Endpoints

Journal of Guidance Control and Dynamics ◽

10.2514/1.g005865 ◽

2021 ◽

pp. 1-13

Author(s):

Zheng Chen

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Second Order ◽

Order Conditions ◽

Control Problems ◽

Second Order 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 KKT optimality conditions for multiobjective discrete optimal control problems

Journal of Global Optimization ◽

10.1007/s10898-020-00935-7 ◽

2020 ◽

Author(s):

Nguyen Thi Toan ◽

Le Quang Thuy ◽

Nguyen Van Tuyen ◽

Yi-Bin Xiao

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Discrete Optimal Control ◽

Kkt Optimality Conditions

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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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Anti-periodic oscillations of some second-order differential equations and optimal control problems

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(94)90345-x ◽

1994 ◽

Vol 52 (1-3) ◽

pp. 3-21 ◽

Author(s):

A.R. Aftabizadeh ◽

N.H. Pavel ◽

Y.K. Huang

Keyword(s):

Optimal Control ◽

Differential Equations ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Periodic Oscillations ◽

Second Order Differential Equations

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