A gradient method applied to optimal control problems under inequality state variable constraints

Hiroo Yamamura; Tadashi Sakaguchi; Toyomi Ohta

doi:10.1002/eej.4391040615

A gradient method applied to optimal control problems under inequality state variable constraints

Electrical Engineering in Japan ◽

10.1002/eej.4391040615 ◽

1984 ◽

Vol 104 (6) ◽

pp. 118-126 ◽

Cited By ~ 1

Author(s):

Hiroo Yamamura ◽

Tadashi Sakaguchi ◽

Toyomi Ohta

Keyword(s):

Optimal Control ◽

Gradient Method ◽

Optimal Control Problems ◽

Control Problems ◽

State Variable ◽

State Variable Constraints ◽

Inequality State

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Method of Conjugate Gradients for Optimal Control Problems with State Variable Constraints.

10.21236/ada072258 ◽

1978 ◽

Author(s):

T. S. Fong ◽

C. T. Leondes

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Conjugate Gradients ◽

Control Problems ◽

State Variable ◽

State Variable Constraints ◽

Method Of Conjugate Gradients

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The spectral gradient method for unconstrained optimal control problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drn016 ◽

2008 ◽

Vol 29 (2) ◽

pp. 315-331 ◽

Cited By ~ 1

Author(s):

J. I. Ardenghi ◽

T. I. Gibelli ◽

M. C. Maciel

Keyword(s):

Optimal Control ◽

Gradient Method ◽

Optimal Control Problems ◽

Control Problems ◽

Spectral Gradient Method

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A transformation technique for optimal control problems with a state variable inequality constraint

IEEE Transactions on Automatic Control ◽

10.1109/tac.1969.1099283 ◽

1969 ◽

Vol 14 (5) ◽

pp. 457-464 ◽

Cited By ~ 146

Author(s):

D. Jacobson ◽

M. Lele

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Inequality Constraint ◽

Control Problems ◽

Transformation Technique ◽

State Variable ◽

Variable Inequality

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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 an inexact gradient method using Proper Orthogonal Decomposition for parabolic optimal control problems

Computational Optimization and Applications ◽

10.1007/s10589-013-9533-z ◽

2013 ◽

Vol 55 (2) ◽

pp. 459-468 ◽

Cited By ~ 1

Author(s):

Christian Jörres ◽

Georg Vossen ◽

Michael Herty

Keyword(s):

Optimal Control ◽

Proper Orthogonal Decomposition ◽

Gradient Method ◽

Optimal Control Problems ◽

Orthogonal Decomposition ◽

Control Problems ◽

Inexact Gradient Method ◽

Parabolic Optimal Control ◽

Proper Orthogonal

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A computational technique for optimal control problems with state variable constraint

Journal of Mathematical Analysis and Applications ◽

10.1016/s0022-247x(62)80005-5 ◽

1962 ◽

Vol 5 (2) ◽

pp. 216-224 ◽

Cited By ~ 9

Author(s):

Yu-Chi Ho

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Computational Technique ◽

Control Problems ◽

State Variable

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A generalized gradient method for optimal control problems with inequality constraints and singular arcs

IEEE Transactions on Automatic Control ◽

10.1109/tac.1972.1099881 ◽

1972 ◽

Vol 17 (1) ◽

pp. 69-79 ◽

Cited By ~ 69

Author(s):

R. Mehra ◽

R. Davis

Keyword(s):

Optimal Control ◽

Gradient Method ◽

Optimal Control Problems ◽

Inequality Constraints ◽

Control Problems ◽

Generalized Gradient ◽

Singular Arcs

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Analysis of Optimal Control Problems for Hybrid Systems with One State Variable

SSRN Electronic Journal ◽

10.2139/ssrn.3424771 ◽

2019 ◽

Author(s):

Puduru Viswanadha Reddy ◽

J.M. (Hans) Schumacher ◽

Jacob C. Engwerda

Keyword(s):

Optimal Control ◽

Hybrid Systems ◽

Optimal Control Problems ◽

Control Problems ◽

State Variable

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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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Comments on "A transformation technique for optimal control problems with a state variable inequality constraint"

IEEE Transactions on Automatic Control ◽

10.1109/tac.1970.1099609 ◽

1970 ◽

Vol 15 (6) ◽

pp. 707-709

Author(s):

L. Wheeler

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Inequality Constraint ◽

Control Problems ◽

Transformation Technique ◽

State Variable ◽

Variable Inequality

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