Smoothing Technique of Nonsmooth Newton Methods for Control-State Constrained Optimal Control Problems

Jinhai Chen; Matthias Gerdts

doi:10.1137/110822177

Smoothing Technique of Nonsmooth Newton Methods for Control-State Constrained Optimal Control Problems

SIAM Journal on Numerical Analysis ◽

10.1137/110822177 ◽

2012 ◽

Vol 50 (4) ◽

pp. 1982-2011 ◽

Cited By ~ 9

Author(s):

Jinhai Chen ◽

Matthias Gerdts

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Newton Methods ◽

Smoothing Technique ◽

Constrained Optimal Control ◽

Control State

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Preconditioning of Active-Set Newton Methods for PDE-constrained Optimal Control Problems

SIAM Journal on Scientific Computing ◽

10.1137/140975711 ◽

2015 ◽

Vol 37 (5) ◽

pp. S472-S502 ◽

Cited By ~ 15

Author(s):

Margherita Porcelli ◽

Valeria Simoncini ◽

Mattia Tani

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Newton Methods ◽

Active Set ◽

Constrained Optimal Control

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A nonsmooth Newton’s method for control-state constrained optimal control problems

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2008.02.018 ◽

2008 ◽

Vol 79 (4) ◽

pp. 925-936 ◽

Cited By ~ 13

Author(s):

Matthias Gerdts

Keyword(s):

Optimal Control ◽

Newton’S Method ◽

Newton's Method ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control ◽

Control State

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Erratum: Global Convergence of a Nonsmooth Newton Method for Control-State Constrained Optimal Control Problems

SIAM Journal on Optimization ◽

10.1137/090755291 ◽

2011 ◽

Vol 21 (2) ◽

pp. 615-616

Author(s):

Matthias Gerdts

Keyword(s):

Optimal Control ◽

Global Convergence ◽

Newton Method ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control ◽

Nonsmooth Newton Method ◽

Control State

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Global Convergence of a Nonsmooth Newton Method for Control-State Constrained Optimal Control Problems

SIAM Journal on Optimization ◽

10.1137/060657546 ◽

2008 ◽

Vol 19 (1) ◽

pp. 326-350 ◽

Cited By ~ 22

Author(s):

Matthias Gerdts

Keyword(s):

Optimal Control ◽

Global Convergence ◽

Newton Method ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control ◽

Nonsmooth Newton Method ◽

Control State

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Numerical solution of control-state constrained optimal control problems with an inexact smoothing Newton method

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drq023 ◽

2011 ◽

Vol 31 (4) ◽

pp. 1598-1624 ◽

Cited By ~ 4

Author(s):

J. Chen ◽

M. Gerdts

Keyword(s):

Optimal Control ◽

Numerical Solution ◽

Newton Method ◽

Optimal Control Problems ◽

Smoothing Newton Method ◽

Control Problems ◽

Constrained Optimal Control ◽

Control State

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Convergence analysis of Euler discretization of control-state constrained optimal control problems with controls of bounded variation

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2014.10.311 ◽

2014 ◽

Vol 10 (1) ◽

pp. 311-336 ◽

Cited By ~ 2

Author(s):

Matthias Gerdts ◽

◽

Martin Kunkel ◽

Keyword(s):

Optimal Control ◽

Convergence Analysis ◽

Bounded Variation ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control ◽

Euler Discretization ◽

Control State

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Adaptive finite element methods for mixed control-state constrained optimal control problems for elliptic boundary value problems

Computational Optimization and Applications ◽

10.1007/s10589-008-9195-4 ◽

2008 ◽

Vol 46 (3) ◽

pp. 511-533 ◽

Cited By ~ 21

Author(s):

R. H. W. Hoppe ◽

M. Kieweg

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Elliptic Boundary ◽

Control Problems ◽

Adaptive Finite Element ◽

Adaptive Finite Element Methods ◽

Constrained Optimal Control ◽

Elliptic Boundary Value ◽

Mixed Control ◽

Control State

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Semi-smooth Newton methods for state-constrained optimal control problems

Systems & Control Letters ◽

10.1016/s0167-6911(03)00156-7 ◽

2003 ◽

Vol 50 (3) ◽

pp. 221-228 ◽

Cited By ~ 75

Author(s):

Kazufumi Ito ◽

Karl Kunisch

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Newton Methods ◽

Constrained Optimal Control

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Convergence of Lagrange-Newton method for control-state and pure state constrained optimal control problems

System Modelling and Optimization ◽

10.1007/978-0-387-34897-1_50 ◽

1996 ◽

pp. 419-426

Author(s):

Kazimierz Malanowski

Keyword(s):

Optimal Control ◽

Newton Method ◽

Pure State ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control ◽

Control State

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A Canonical Structure for Constrained Optimal Control Problems

1993 American Control Conference ◽

10.23919/acc.1993.4793145 ◽

1993 ◽

Author(s):

Jie Chen ◽

Guoxiang Gu ◽

Carl N. Nett ◽

Dapeng Xiong

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Canonical Structure ◽

Constrained Optimal Control

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