Preconditioned Conjugate Gradient Method for Optimal Control Problems with Control and State Constraints

Roland Herzog; Ekkehard Sachs

doi:10.1137/090779127

Preconditioned Conjugate Gradient Method for Optimal Control Problems with Control and State Constraints

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/090779127 ◽

2010 ◽

Vol 31 (5) ◽

pp. 2291-2317 ◽

Cited By ~ 49

Author(s):

Roland Herzog ◽

Ekkehard Sachs

Keyword(s):

Optimal Control ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

State Constraints ◽

Optimal Control Problems ◽

Preconditioned Conjugate Gradient Method ◽

Preconditioned Conjugate Gradient ◽

Control Problems ◽

Control And State Constraints

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Adaptations of the conjugate gradient method to optimal control problems with terminal state constraints

10.31274/rtd-180813-726 ◽

1969 ◽

Author(s):

John Kendall Willoughby

Keyword(s):

Optimal Control ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

State Constraints ◽

Optimal Control Problems ◽

Terminal State ◽

Control Problems

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Adaptations of the conjugate gradient method to optimal control problems with terminal state constraints

10.31274/rtd-180816-726 ◽

1969 ◽

Cited By ~ 1

Author(s):

John Kendall Willoughby

Keyword(s):

Optimal Control ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

State Constraints ◽

Optimal Control Problems ◽

Terminal State ◽

Control Problems

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A constraint-space conjugate gradient method for function minimization and optimal control problems†

International Journal of Control ◽

10.1080/00207177108932119 ◽

1971 ◽

Vol 14 (6) ◽

pp. 1121-1135 ◽

Cited By ~ 4

Author(s):

J. K. WILLOUGHBY‡ ◽

B. L. PJERSON

Keyword(s):

Optimal Control ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Optimal Control Problems ◽

Function Minimization ◽

Control Problems

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On the convergence of the extended conjugate gradient method for discrete optimal control problems (DOCP)

Journal of the Nigerian Association of Mathematical Physics ◽

10.4314/jonamp.v9i1.40086 ◽

2008 ◽

Vol 9 (1) ◽

Author(s):

J S Apanapudor ◽

FO Otunta

Keyword(s):

Optimal Control ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Optimal Control Problems ◽

Control Problems ◽

Discrete Optimal Control

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The conjugate gradient method for optimal control problems with bounded control variables

Automatica ◽

10.1016/0005-1098(68)90006-x ◽

1968 ◽

Vol 4 (5-6) ◽

pp. 337-349 ◽

Cited By ~ 79

Author(s):

B. Pagurek ◽

C.M. Woodside

Keyword(s):

Optimal Control ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Optimal Control Problems ◽

Control Problems ◽

Bounded Control ◽

Control Variables

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On The Extended Conjugate Gradient Method(ECGM) Algorithm For Discrete Optimal Control Problems And Some Of Its Features

IOSR Journal of Mathematics ◽

10.9790/5728-10341622 ◽

2014 ◽

Vol 10 (3) ◽

pp. 16-22 ◽

Cited By ~ 1

Author(s):

F. M. Aderibigbe ◽

◽

J.S. Apanapudor

Keyword(s):

Optimal Control ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Optimal Control Problems ◽

Control Problems ◽

Discrete Optimal Control

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The conjugate gradient method for optimal control problems

IEEE Transactions on Automatic Control ◽

10.1109/tac.1967.1098538 ◽

1967 ◽

Vol 12 (2) ◽

pp. 132-138 ◽

Cited By ~ 285

Author(s):

L. Lasdon ◽

S. Mitter ◽

A. Waren

Keyword(s):

Optimal Control ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Optimal Control Problems ◽

Control Problems

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On Application Of Modified Gradient To Extended Conjugate Gradient Method Algorithm For Solving Optimal Control Problems

IOSR Journal of Mathematics ◽

10.9790/5728-0953035 ◽

2014 ◽

Vol 9 (5) ◽

pp. 30-35

Author(s):

K. J. ADEBAYO ◽

◽

F. M. ADERIBIGBE ◽

M. F. AKINMUYISE

Keyword(s):

Optimal Control ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Optimal Control Problems ◽

Control Problems

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The conjugate-gradient method for optimal control problems with undetermined final time†

International Journal of Control ◽

10.1080/00207177208932130 ◽

1972 ◽

Vol 15 (1) ◽

pp. 79-82 ◽

Cited By ~ 3

Author(s):

A. HUSSU

Keyword(s):

Optimal Control ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Optimal Control Problems ◽

Control Problems ◽

Final Time

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A conjugate gradient method for distributed optimal control problems with nonhomogeneous Helmholtz equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126019 ◽

2021 ◽

Vol 402 ◽

pp. 126019

Author(s):

Zemian Zhang ◽

Xuesong Chen

Keyword(s):

Optimal Control ◽

Helmholtz Equation ◽

Conjugate Gradient Method ◽

Conjugate Gradient ◽

Gradient Method ◽

Optimal Control Problems ◽

Control Problems ◽

Distributed Optimal Control ◽

Distributed Optimal Control Problems

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