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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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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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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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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Necessary Conditions for Optimal Control Problems Involving Nonlinear Differential Algebraic Equations

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1997.5523 ◽

1997 ◽

Vol 212 (2) ◽

pp. 493-516 ◽

Author(s):

M.do R de Pinho ◽

R.B Vinter

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Necessary Conditions ◽

Differential Algebraic Equations ◽

Control Problems ◽

Algebraic Equations

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Local Minimum Principle for Optimal Control Problems Subject to Differential-Algebraic Equations of Index Two

Journal of Optimization Theory and Applications ◽

10.1007/s10957-006-9121-9 ◽

2006 ◽

Vol 130 (3) ◽

pp. 443-462 ◽

Author(s):

M. Gerdts

Keyword(s):

Optimal Control ◽

Local Minimum ◽

Optimal Control Problems ◽

Minimum Principle ◽

Differential Algebraic Equations ◽

Control Problems ◽

Algebraic Equations

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The properties of differential-algebraic equations representing optimal control problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2009.04.003 ◽

2009 ◽

Vol 59 (10) ◽

pp. 2357-2373 ◽

Author(s):

Roland England ◽

Susana Gómez ◽

René Lamour

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Differential Algebraic Equations ◽

Control Problems ◽

Algebraic Equations

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The parameterization method in optimal control problems and differential–algebraic equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.03.017 ◽

2006 ◽

Vol 185 (2) ◽

pp. 377-390 ◽

Author(s):

Vladimir K. Gorbunov ◽

Igor V. Lutoshkin

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Differential Algebraic Equations ◽

Control Problems ◽

Algebraic Equations ◽

Parameterization Method

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Expressing optimal control problems as differential algebraic equations

Computers & Chemical Engineering ◽

10.1016/j.compchemeng.2005.02.040 ◽

2005 ◽

Vol 29 (8) ◽

pp. 1720-1730 ◽

Author(s):

Roland England ◽

Susana Gómez ◽

René Lamour

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Differential Algebraic Equations ◽

Control Problems ◽

Algebraic Equations

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