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 ◽

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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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 ◽

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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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 ◽

Author(s):

Matthias Gerdts

Keyword(s):

Optimal Control ◽

Newton’S Method ◽

Newton's Method ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control ◽

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A Hybrid Differential Dynamic Programming Algorithm for Constrained Optimal Control Problems. Part 1: Theory

Journal of Optimization Theory and Applications ◽

10.1007/s10957-012-0039-0 ◽

2012 ◽

Vol 154 (2) ◽

pp. 382-417 ◽

Author(s):

Gregory Lantoine ◽

Ryan P. Russell

Keyword(s):

Optimal Control ◽

Dynamic Programming ◽

Optimal Control Problems ◽

Dynamic Programming Algorithm ◽

Programming Algorithm ◽

Control Problems ◽

Differential Dynamic Programming ◽

Constrained Optimal Control

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Differential dynamic programming applied to continuous optimal control problems with state variable inequality constraints

Dynamics and Control ◽

10.1007/bf01968530 ◽

1993 ◽

Vol 3 (2) ◽

pp. 175-185 ◽

Author(s):

David J. W. Ruxton

Keyword(s):

Optimal Control ◽

Dynamic Programming ◽

Optimal Control Problems ◽

Inequality Constraints ◽

Control Problems ◽

Differential Dynamic Programming ◽

State Variable ◽

Variable Inequality

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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 ◽

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 ◽

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 ◽

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An Effective Differential Dynamic Programming Algorithm for Constrained Optimal Control Problems

10.23919/acc.1989.4790479 ◽

1989 ◽

Author(s):

Chun-Hung Chen ◽

Shi-Chung Chang ◽

I-Kong Fong

Keyword(s):

Optimal Control ◽

Dynamic Programming ◽

Optimal Control Problems ◽

Dynamic Programming Algorithm ◽

Programming Algorithm ◽

Control Problems ◽

Differential Dynamic Programming ◽

Constrained Optimal Control

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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 ◽

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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Dynamic Programming Approach for Discrete-Valued Time Discrete Optimal Control Problems with Dwell Time Constraints

IFIP Advances in Information and Communication Technology - System Modeling and Optimization ◽

10.1007/978-3-319-55795-3_14 ◽

2016 ◽

pp. 159-168 ◽

Author(s):

Michael Burger ◽

Matthias Gerdts ◽

Simone Göttlich ◽

Michael Herty

Keyword(s):

Optimal Control ◽

Dynamic Programming ◽

Optimal Control Problems ◽

Time Constraints ◽

Programming Approach ◽

Control Problems ◽

Dynamic Programming Approach ◽

Discrete Optimal Control

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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 ◽

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 ◽

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