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

SIAM Journal on Control and Optimization ◽

10.1137/20m1353952 ◽

2021 ◽

Vol 59 (3) ◽

pp. 1903-1926

Author(s):

Björn Martens ◽

Matthias Gerdts

Keyword(s):

Optimal Control ◽

Convergence Analysis ◽

State Constraints ◽

Optimal Control Problems ◽

Differential Algebraic Equations ◽

Control Problems ◽

Algebraic Equations ◽

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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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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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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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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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 of the Implicit Euler-discretization and Sufficient Conditions for Optimal Control Problems Subject to Index-one Differential-algebraic Equations

Set-Valued and Variational Analysis ◽

10.1007/s11228-018-0471-x ◽

2018 ◽

Vol 27 (2) ◽

pp. 405-431 ◽

Author(s):

Björn Martens ◽

Matthias Gerdts

Keyword(s):

Optimal Control ◽

Convergence Analysis ◽

Optimal Control Problems ◽

Sufficient Conditions ◽

Differential Algebraic Equations ◽

Control Problems ◽

Algebraic Equations ◽

Euler Discretization

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Numerical Treatment of Optimal Control Problems with Differential-Algebraic Equations and Applications to Virtual Test-drives

Progress in Industrial Mathematics at ECMI 2000 - Mathematics in Industry ◽

10.1007/978-3-662-04784-2_74 ◽

2002 ◽

pp. 549-553

Author(s):

M. Gerdts

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Differential Algebraic Equations ◽

Control Problems ◽

Numerical Treatment ◽

Algebraic Equations ◽

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On Lifting Operators and Regularity of Nonsmooth Newton Methods for Optimal Control Problems of Differential Algebraic Equations

Journal of Optimization Theory and Applications ◽

10.1007/s10957-018-1364-8 ◽

2018 ◽

Vol 180 (2) ◽

pp. 518-535

Author(s):

Jinhai Chen ◽

Herschel Rabitz

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Differential Algebraic Equations ◽

Control Problems ◽

Newton Methods ◽

Algebraic Equations

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Index Criteria for Differential Algebraic Equations Arising from Linear-Quadratic Optimal Control Problems

Journal of Dynamical and Control Systems ◽

10.1007/s10450-006-0001-2 ◽

2006 ◽

Vol 12 (3) ◽

pp. 289-311 ◽

Author(s):

Katalin Balla ◽

Galina A. Kurina ◽

Roswitha März

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Differential Algebraic Equations ◽

Control Problems ◽

Algebraic Equations ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

Quadratic Optimal Control

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