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

Control Problems ◽

Numerical Treatment ◽

Algebraic Equations ◽

Virtual Test

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 ◽

Control Problems ◽

Newton Methods ◽

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 ◽

Cited By ~ 15

Author(s):

Katalin Balla ◽

Galina A. Kurina ◽

Roswitha März

Keyword(s):

Optimal Control ◽

Control Problems ◽

Algebraic Equations ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

Quadratic Optimal Control

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 ◽

Cited By ~ 41

Author(s):

M.do R de Pinho ◽

R.B Vinter

Keyword(s):

Optimal Control ◽

Necessary Conditions ◽

Control Problems ◽

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 ◽

Cited By ~ 5

Author(s):

M. Gerdts

Keyword(s):

Optimal Control ◽

Local Minimum ◽

Minimum Principle ◽

Control Problems ◽

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 ◽

Cited By ~ 4

Author(s):

Roland England ◽

Susana Gómez ◽

René Lamour

Keyword(s):

Optimal Control ◽

Control Problems ◽

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 ◽

Cited By ~ 10

Author(s):

Vladimir K. Gorbunov ◽

Igor V. Lutoshkin

Keyword(s):

Optimal Control ◽

Control Problems ◽

Algebraic Equations ◽

Parameterization Method

On the numerical treatment of linear–quadratic optimal control problems for general linear time-varying differential-algebraic equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.10.011 ◽

2013 ◽

Vol 242 ◽

pp. 213-231 ◽

Cited By ~ 2

Author(s):

Stephen L. Campbell ◽

Peter Kunkel

Keyword(s):

Linear Time ◽

Control Problems ◽

Time Varying ◽

Numerical Treatment ◽

Algebraic Equations ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

Quadratic Optimal Control

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 ◽

Cited By ~ 10

Author(s):

Roland England ◽

Susana Gómez ◽

René Lamour

Keyword(s):

Optimal Control ◽

Control Problems ◽

Power and Energy / 807: Intelligent Systems and Control / 808: Technology for Education and Learning ◽

Direct Transcription Solution of Optimal Control Problems with Differential Algebraic Equations with Delays

10.2316/p.2013.807-003 ◽

2013 ◽

Cited By ~ 2

Author(s):

John T. Betts ◽

Stephen L. Campbell ◽

Karmethia C. Thompson

Keyword(s):

Optimal Control ◽

Control Problems ◽

Algebraic Equations ◽

Direct Transcription

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 ◽

Cited By ~ 1

Author(s):

Björn Martens ◽

Matthias Gerdts

Keyword(s):

Optimal Control ◽

Convergence Analysis ◽

State Constraints ◽

Control Problems ◽

Algebraic Equations ◽

Mixed Control ◽

Control State