Homotopy Algorithm for Optimal Control Problems with a Second-order State Constraint

Applied Mathematics & Optimization ◽

10.1007/s00245-009-9076-y ◽

2009 ◽

Vol 61 (1) ◽

pp. 85-127 ◽

Author(s):

Audrey Hermant

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

State Constraint ◽

Second Order ◽

Control Problems ◽

Homotopy Algorithm ◽

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Stability Analysis of Optimal Control Problems with a Second-Order State Constraint

SIAM Journal on Optimization ◽

10.1137/070707993 ◽

2009 ◽

Vol 20 (1) ◽

pp. 104-129 ◽

Author(s):

Audrey Hermant

Keyword(s):

Optimal Control ◽

Stability Analysis ◽

Optimal Control Problems ◽

State Constraint ◽

Second Order ◽

Control Problems ◽

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No-gap second-order optimality conditions for optimal control problems with a single state constraint and control

Mathematical Programming ◽

10.1007/s10107-007-0167-8 ◽

2007 ◽

Vol 117 (1-2) ◽

pp. 21-50 ◽

Author(s):

J. Frédéric Bonnans ◽

Audrey Hermant

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

State Constraint ◽

Second Order ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Single State ◽

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Stability and sensitivity analysis for optimal control problems with a first-order state constraint and application to continuation methods

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv:2008016 ◽

2008 ◽

Vol 14 (4) ◽

pp. 825-863 ◽

Author(s):

Joseph Frédéric Bonnans ◽

Audrey Hermant

Keyword(s):

Optimal Control ◽

Sensitivity Analysis ◽

Optimal Control Problems ◽

State Constraint ◽

Continuation Methods ◽

Control Problems ◽

First Order ◽

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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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Transformation of optimal control problems with a state constraint avoiding interior boundary conditions

2008 47th IEEE Conference on Decision and Control ◽

10.1109/cdc.2008.4739035 ◽

2008 ◽

Author(s):

Knut Graichen ◽

Nicolas Petit ◽

Andreas Kugi

Keyword(s):

Optimal Control ◽

Boundary Conditions ◽

Optimal Control Problems ◽

State Constraint ◽

Control Problems ◽

Interior Boundary ◽

Interior Boundary Conditions

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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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