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 conditions for optimal control problems with mixed control-state constraints and control appearing linearly

52nd IEEE Conference on Decision and Control ◽

10.1109/cdc.2013.6759933 ◽

2013 ◽

Author(s):

Helmut Maurer ◽

Nikolai Osmolovskii

Keyword(s):

Optimal Control ◽

State Constraints ◽

Optimal Control Problems ◽

Second Order ◽

Order Conditions ◽

Control Problems ◽

Mixed Control ◽

Second Order Conditions ◽

And Control ◽

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Second-Order Necessary Optimality Conditions for a Class of Optimal Control Problems Governed by Partial Differential Equations with Pure State Constraints

Journal of Optimization Theory and Applications ◽

10.1007/s10957-014-0628-1 ◽

2014 ◽

Vol 165 (1) ◽

pp. 30-61 ◽

Author(s):

B. T. Kien ◽

V. H. Nhu ◽

A. Rösch

Keyword(s):

Optimal Control ◽

Partial Differential Equations ◽

Differential Equations ◽

Optimality Conditions ◽

State Constraints ◽

Optimal Control Problems ◽

Necessary Optimality Conditions ◽

Control Problems ◽

Pure State Constraints

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Bilevel Optimal Control Problems with Pure State Constraints and Finite-dimensional Lower Level

SIAM Journal on Optimization ◽

10.1137/141000889 ◽

2016 ◽

Vol 26 (1) ◽

pp. 564-588 ◽

Author(s):

F. Benita ◽

S. Dempe ◽

P. Mehlitz

Keyword(s):

Optimal Control ◽

State Constraints ◽

Optimal Control Problems ◽

Control Problems ◽

Finite Dimensional ◽

Pure State Constraints

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Lipschitz stability for elliptic optimal control problems with mixed control-state constraints

Optimization ◽

10.1080/02331930902863749 ◽

2009 ◽

Vol 59 (6) ◽

pp. 833-849 ◽

Author(s):

Walter Alt ◽

Roland Griesse ◽

Nataliya Metla ◽

Arnd Rösch

Keyword(s):

Optimal Control ◽

State Constraints ◽

Optimal Control Problems ◽

Control Problems ◽

Lipschitz Stability ◽

Mixed Control ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

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A Computational Approach to Optimal Control Problems Subject to Mixed Control-State Constraints

International Journal of Control ◽

10.1080/00207179.2021.1978556 ◽

2021 ◽

pp. 1-12

Author(s):

Jinghao Zhu

Keyword(s):

Optimal Control ◽

State Constraints ◽

Optimal Control Problems ◽

Computational Approach ◽

Control Problems ◽

Mixed Control ◽

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Optimal control problems with delays in state and control variables subject to mixed control-state constraints

Optimal Control Applications and Methods ◽

10.1002/oca.843 ◽

2009 ◽

Vol 30 (4) ◽

pp. 341-365 ◽

Author(s):

L. Göllmann ◽

D. Kern ◽

H. Maurer

Keyword(s):

Optimal Control ◽

State Constraints ◽

Optimal Control Problems ◽

Control Problems ◽

Control Variables ◽

Mixed Control ◽

And Control ◽

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Optimal Control Problems with Mixed and Pure State Constraints

SIAM Journal on Control and Optimization ◽

10.1137/15m1041845 ◽

2016 ◽

Vol 54 (6) ◽

pp. 3061-3083 ◽

Author(s):

A. Boccia ◽

M. D. R. de Pinho ◽

R. B. Vinter

Keyword(s):

Optimal Control ◽

State Constraints ◽

Optimal Control Problems ◽

Control Problems ◽

Pure State Constraints

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Chapter 3: Quadratic Conditions for Optimal Control Problems with Mixed Control-State Constraints

Applications to Regular and Bang-Bang Control ◽

10.1137/1.9781611972368.ch3 ◽

2012 ◽

pp. 127-181

Keyword(s):

Optimal Control ◽

State Constraints ◽

Optimal Control Problems ◽

Control Problems ◽

Mixed Control ◽

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OPtimal Synthesis And Normality Of The Maximum Principle For Optimal Control Problems With Pure State Constraints

2011 9th IEEE International Conference on Control and Automation (ICCA) ◽

10.1109/icca.2011.6137892 ◽

2011 ◽

Author(s):

Helene Frankowska ◽

Marco Mazzola

Keyword(s):

Optimal Control ◽

Maximum Principle ◽

State Constraints ◽

Optimal Control Problems ◽

Optimal Synthesis ◽

Control Problems ◽

The Maximum Principle ◽

Pure State Constraints

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Convergence Analysis for Approximations of Optimal Control Problems Subject to Higher Index Differential-Algebraic Equations and Mixed Control-State Constraints

SIAM Journal on Control and Optimization ◽

10.1137/18m1219382 ◽

2020 ◽

Vol 58 (1) ◽

pp. 1-33 ◽

Author(s):

Björn Martens ◽

Matthias Gerdts

Keyword(s):

Optimal Control ◽

Convergence Analysis ◽

State Constraints ◽

Optimal Control Problems ◽

Differential Algebraic Equations ◽

Control Problems ◽

Algebraic Equations ◽

Mixed Control ◽

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