Mesh-independence of semismooth Newton methods for Lavrentiev-regularized state constrained nonlinear optimal control problems

M. Hintermüller; F. Tröltzsch; I. Yousept

doi:10.1007/s00211-007-0134-6

Mesh-independence of semismooth Newton methods for Lavrentiev-regularized state constrained nonlinear optimal control problems

Numerische Mathematik ◽

10.1007/s00211-007-0134-6 ◽

2008 ◽

Vol 108 (4) ◽

pp. 571-603 ◽

Cited By ~ 13

Author(s):

M. Hintermüller ◽

F. Tröltzsch ◽

I. Yousept

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Nonlinear Optimal Control ◽

Control Problems ◽

Newton Methods ◽

Mesh Independence ◽

Semismooth Newton ◽

Semismooth Newton Methods

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Penalty, Multiplier, and Newton Methods for a Class of Nonlinear Optimal Control Problems

Computation and Control II ◽

10.1007/978-1-4612-0427-5_19 ◽

1991 ◽

pp. 279-288

Author(s):

Aubrey B. Poore ◽

Bing Yang ◽

William W. Hager

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Nonlinear Optimal Control ◽

Control Problems ◽

Newton Methods

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Multi-stage linear Gauss pseudospectral method for piecewise continuous nonlinear optimal control problems

IEEE Transactions on Aerospace and Electronic Systems ◽

10.1109/taes.2021.3054074 ◽

2021 ◽

pp. 1-1

Author(s):

Yang Li ◽

Wanchun Chen ◽

Liang Yang

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Pseudospectral Method ◽

Nonlinear Optimal Control ◽

Control Problems ◽

Multi Stage ◽

Gauss Pseudospectral Method ◽

Piecewise Continuous

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Solution of nonlinear optimal control problems using modified Hopfield neural networks

10.1117/12.174238 ◽

1994 ◽

Author(s):

Daniel J. Stech

Keyword(s):

Neural Networks ◽

Optimal Control ◽

Optimal Control Problems ◽

Nonlinear Optimal Control ◽

Hopfield Neural Networks ◽

Control Problems

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A chattering control based algorithm for nonlinear optimal control problems with control-constraints

Proceedings of 1995 American Control Conference - ACC'95 ◽

10.1109/acc.1995.531268 ◽

2005 ◽

Author(s):

J. Imae

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Nonlinear Optimal Control ◽

Control Problems ◽

Control Constraints

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System equivalence in a class of nonlinear optimal control problems

IEEE Transactions on Automatic Control ◽

10.1109/tac.1971.1099676 ◽

1971 ◽

Vol 16 (2) ◽

pp. 189-194 ◽

Cited By ~ 5

Author(s):

W. Rugh

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Nonlinear Optimal Control ◽

Control Problems ◽

System Equivalence

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An efficient sequential linear quadratic algorithm for solving nonlinear optimal control problems

IEEE Transactions on Automatic Control ◽

10.1109/tac.2005.860248 ◽

2005 ◽

Vol 50 (12) ◽

pp. 2043-2047 ◽

Cited By ~ 23

Author(s):

A. Sideris ◽

J.E. Bobrow

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Nonlinear Optimal Control ◽

Control Problems ◽

Linear Quadratic

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A class of nonlinear optimal control problems governed by Fredholm integro-differential equations with delay

International Journal of Control ◽

10.1080/00207179.2018.1550683 ◽

2019 ◽

Vol 93 (9) ◽

pp. 2199-2211

Author(s):

Hamid Reza Marzban ◽

Mehrdad Rostami Ashani

Keyword(s):

Optimal Control ◽

Differential Equations ◽

Optimal Control Problems ◽

Nonlinear Optimal Control ◽

Control Problems ◽

Equations With Delay

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On the feasibility of finite differences homotopy-based algorithm for nonlinear optimal control problems

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)56445-9 ◽

1999 ◽

Vol 32 (2) ◽

pp. 2616-2621

Author(s):

Mazen Alamir

Keyword(s):

Optimal Control ◽

Finite Differences ◽

Optimal Control Problems ◽

Nonlinear Optimal Control ◽

Control Problems

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Nonlinear Optimal Control Problems and the Method of Multiple Scales

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/6.1.1 ◽

1989 ◽

Vol 6 (1) ◽

pp. 1-20 ◽

Cited By ~ 2

Author(s):

W. D. COLLINS

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Multiple Scales ◽

Method Of Multiple Scales ◽

Nonlinear Optimal Control ◽

Control Problems

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Adaptive mixed finite element methods for nonlinear optimal control problems

Lobachevskii Journal of Mathematics ◽

10.1134/s1995080211010124 ◽

2011 ◽

Vol 32 (1) ◽

pp. 1-15 ◽

Cited By ~ 1

Author(s):

Zuliang Lu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Nonlinear Optimal Control ◽

Mixed Finite Element Methods ◽

Control Problems

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