Restricted second order information for the solution of optimal control problems using control vector parameterization

Journal of Process Control ◽

10.1016/s0959-1524(01)00008-7 ◽

2002 ◽

Vol 12 (2) ◽

pp. 243-255 ◽

Author(s):

Eva Balsa Canto ◽

Julio R. Banga ◽

Antonio A. Alonso ◽

Vassilios S. Vassiliadis

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Second Order ◽

Control Problems ◽

Order Information ◽

Control Vector ◽

Control Vector Parameterization

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A novel non-uniform control vector parameterization approach with time grid refinement for flight level tracking optimal control problems

ISA Transactions ◽

10.1016/j.isatra.2017.12.008 ◽

2018 ◽

Vol 73 ◽

pp. 66-78 ◽

Author(s):

Ping Liu ◽

Guodong Li ◽

Xinggao Liu ◽

Long Xiao ◽

Yalin Wang ◽

...

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Grid Refinement ◽

Control Vector ◽

Flight Level ◽

Control Vector Parameterization ◽

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Solving fractional optimal control problems using control vector parameterization

2013 International Conference on Control, Decision and Information Technologies (CoDIT) ◽

10.1109/codit.2013.6689604 ◽

2013 ◽

Author(s):

Ghania Idiri ◽

Said Djennounet ◽

Maamar Bettayeb

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Control Vector ◽

Fractional Optimal Control ◽

Fractional Optimal Control Problems ◽

Control Vector Parameterization

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An improved smoothing technique-based control vector parameterization method for optimal control problems with inequality path constraints

Optimal Control Applications and Methods ◽

10.1002/oca.2273 ◽

2016 ◽

Vol 38 (4) ◽

pp. 586-600 ◽

Author(s):

Ping Liu ◽

Xiangyu Li ◽

Xinggao Liu ◽

Yunqing Hu

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Smoothing Technique ◽

Control Vector ◽

Parameterization Method ◽

Path Constraints ◽

Control Vector Parameterization

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State Difference Sensitivity-based Control Vector Parameterization Refinement Approach for Optimal Control Problems

2019 Chinese Automation Congress (CAC) ◽

10.1109/cac48633.2019.8997041 ◽

2019 ◽

Author(s):

Guoqing Qiu ◽

Hang Liu ◽

Chuanjie Nie ◽

Li Fan ◽

Ping Liu

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Control Vector ◽

Control Vector Parameterization ◽

State Difference

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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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