Efficient dynamic programming implementations of Newton's method for unconstrained optimal control problems

J. C. Dunn; D. P. Bertsekas

doi:10.1007/bf00940728

Efficient dynamic programming implementations of Newton's method for unconstrained optimal control problems

Journal of Optimization Theory and Applications ◽

10.1007/bf00940728 ◽

1989 ◽

Vol 63 (1) ◽

pp. 23-38 ◽

Cited By ~ 58

Author(s):

J. C. Dunn ◽

D. P. Bertsekas

Keyword(s):

Optimal Control ◽

Dynamic Programming ◽

Newton’S Method ◽

Newton's Method ◽

Optimal Control Problems ◽

Control Problems

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Differential dynamic programming and Newton's method for discrete optimal control problems

Journal of Optimization Theory and Applications ◽

10.1007/bf00934463 ◽

1984 ◽

Vol 43 (3) ◽

pp. 395-414 ◽

Cited By ~ 51

Author(s):

D. M. Murray ◽

S. J. Yakowitz

Keyword(s):

Optimal Control ◽

Dynamic Programming ◽

Newton’S Method ◽

Newton's Method ◽

Optimal Control Problems ◽

Control Problems ◽

Differential Dynamic Programming ◽

Discrete 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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Newton's Method for a Class of Weakly Singular Optimal Control Problems

SIAM Journal on Optimization ◽

10.1137/s1052623497320840 ◽

2000 ◽

Vol 10 (3) ◽

pp. 896-916 ◽

Cited By ~ 5

Author(s):

Kazufumi Ito ◽

Karl Kunisch

Keyword(s):

Optimal Control ◽

Newton’S Method ◽

Newton's Method ◽

Optimal Control Problems ◽

Control Problems ◽

Singular Optimal Control ◽

Weakly Singular

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A computational method for the solution of time-optimal control problems by Newton's method

International Journal of Control ◽

10.1080/00207178608933664 ◽

1986 ◽

Vol 44 (5) ◽

pp. 1233-1243 ◽

Cited By ~ 4

Author(s):

M. B. SUBRAHMANYAM

Keyword(s):

Optimal Control ◽

Newton’S Method ◽

Newton's Method ◽

Optimal Control Problems ◽

Time Optimal Control ◽

Computational Method ◽

Control Problems ◽

Time Optimal

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Newton's Method for Linear Optimal Control Problems *

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)67358-0 ◽

1976 ◽

Vol 9 (3) ◽

pp. 353-359 ◽

Cited By ~ 3

Author(s):

Dimitri P. Bertsekas

Keyword(s):

Optimal Control ◽

Newton’S Method ◽

Newton's Method ◽

Optimal Control Problems ◽

Control Problems ◽

Linear Optimal Control ◽

Linear Optimal Control Problems

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A direct second-variational method for free-endpoint, free-time optimal control problems by Newton's method in function space†

International Journal of Control ◽

10.1080/00207176908905739 ◽

1969 ◽

Vol 9 (2) ◽

pp. 167-177 ◽

Cited By ~ 7

Author(s):

L. PADMANABHAN ◽

S. G. BANKOFF

Keyword(s):

Optimal Control ◽

Variational Method ◽

Function Space ◽

Newton’S Method ◽

Newton's Method ◽

Optimal Control Problems ◽

Free Time ◽

Time Optimal Control ◽

Control Problems ◽

Time Optimal

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A nonsmooth Newton's method for discretized optimal control problems with state and control constraints

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2008.4.247 ◽

2008 ◽

Vol 4 (2) ◽

pp. 247-270 ◽

Cited By ~ 27

Author(s):

Matthias Gerdts ◽

◽

Martin Kunkel ◽

Keyword(s):

Optimal Control ◽

Newton’S Method ◽

Newton's Method ◽

Optimal Control Problems ◽

Control Problems ◽

Control Constraints ◽

And Control ◽

State And Control Constraints

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CONVERGENCE OF THE NEWTON'S METHOD FOR AN OPTIMAL CONTROL PROBLEMS FOR NAVIER-STOKES EQUATIONS

Bulletin of the Korean Mathematical Society ◽

10.4134/bkms.2011.48.5.1079 ◽

2011 ◽

Vol 48 (5) ◽

pp. 1079-1092

Author(s):

Young-Mi Choi ◽

Sang-Dong Kim ◽

Hyung-Chun Lee

Keyword(s):

Optimal Control ◽

Newton’S Method ◽

Newton's Method ◽

Optimal Control Problems ◽

Stokes Equations ◽

Navier Stokes ◽

Control Problems ◽

Navier Stokes Equations

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Numerical Approximation of Basic Optimal Control Problems, and Dynamic Programming

UNITEXT - Optimization and Approximation ◽

10.1007/978-3-319-64843-9_8 ◽

2017 ◽

pp. 167-190

Author(s):

Pablo Pedregal

Keyword(s):

Optimal Control ◽

Dynamic Programming ◽

Numerical Approximation ◽

Optimal Control Problems ◽

Control Problems

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On Implementation of Dynamic Programming for Optimal Control Problems with Final State Constraints

Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles ◽

10.2516/ogst/2009020 ◽

2009 ◽

Vol 65 (1) ◽

pp. 91-102 ◽

Cited By ~ 123

Author(s):

O. Sundström ◽

D. Ambühl ◽

L. Guzzella

Keyword(s):

Optimal Control ◽

Dynamic Programming ◽

State Constraints ◽

Optimal Control Problems ◽

Control Problems ◽

Final State

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