Application of dynamic programming to final state constrained optimal control problems

Rein Luus; Oscar Rosen

doi:10.1021/ie00055a018

Application of dynamic programming to final state constrained optimal control problems

Industrial & Engineering Chemistry Research ◽

10.1021/ie00055a018 ◽

1991 ◽

Vol 30 (7) ◽

pp. 1525-1530 ◽

Cited By ~ 35

Author(s):

Rein Luus ◽

Oscar Rosen

Keyword(s):

Optimal Control ◽

Dynamic Programming ◽

Optimal Control Problems ◽

Control Problems ◽

Final State ◽

Constrained Optimal Control

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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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Implementation of Dynamic Programming for $n$-Dimensional Optimal Control Problems With Final State Constraints

IEEE Transactions on Control Systems Technology ◽

10.1109/tcst.2012.2190935 ◽

2013 ◽

Vol 21 (3) ◽

pp. 924-931 ◽

Cited By ~ 82

Author(s):

Philipp Elbert ◽

Soren Ebbesen ◽

Lino Guzzella

Keyword(s):

Optimal Control ◽

Dynamic Programming ◽

State Constraints ◽

Optimal Control Problems ◽

Control Problems ◽

Final State

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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 ◽

Cited By ~ 33

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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Existence of Neighboring Feasible Trajectories: Applications to Dynamic Programming for State-Constrained Optimal Control Problems

Journal of Optimization Theory and Applications ◽

10.1023/a:1004668504089 ◽

2000 ◽

Vol 104 (1) ◽

pp. 20-40 ◽

Cited By ~ 57

Author(s):

H. Frankowska ◽

R. B. Vinter

Keyword(s):

Optimal Control ◽

Dynamic Programming ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control ◽

Neighboring Feasible Trajectories

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An Effective Differential Dynamic Programming Algorithm for Constrained Optimal Control Problems

10.23919/acc.1989.4790479 ◽

1989 ◽

Cited By ~ 1

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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Existence of neighbouring feasible trajectories: applications to dynamic programming for state constrained optimal control problems

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187) ◽

10.1109/cdc.2001.914654 ◽

2002 ◽

Cited By ~ 4

Author(s):

H. Frankowska ◽

R.B. Vinter

Keyword(s):

Optimal Control ◽

Dynamic Programming ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control

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A Hybrid Differential Dynamic Programming Algorithm for Constrained Optimal Control Problems. Part 2: Application

Journal of Optimization Theory and Applications ◽

10.1007/s10957-012-0038-1 ◽

2012 ◽

Vol 154 (2) ◽

pp. 418-442 ◽

Cited By ~ 29

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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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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On the structure of Lagrange multipliers for state-constrained optimal control problems

Systems & Control Letters ◽

10.1016/s0167-6911(02)00262-1 ◽

2003 ◽

Vol 48 (3-4) ◽

pp. 169-176 ◽

Cited By ~ 37

Author(s):

Maı̈tine Bergounioux ◽

Karl Kunisch

Keyword(s):

Optimal Control ◽

Lagrange Multipliers ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control

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Homogenization of constrained optimal control problems for one-dimensional elliptic equations on periodic graphs

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv:2008037 ◽

2008 ◽

Vol 15 (2) ◽

pp. 471-498 ◽

Cited By ~ 4

Author(s):

Peter I. Kogut ◽

Günter Leugering

Keyword(s):

Optimal Control ◽

Elliptic Equations ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control ◽

One Dimensional ◽

Periodic Graphs

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