Gauss pseudospectral and continuation methods for solving two-point boundary value problems in optimal control theory

Applied Mathematical Modelling ◽

10.1016/j.apm.2015.04.009 ◽

2015 ◽

Vol 39 (17) ◽

pp. 5047-5057 ◽

Author(s):

M.A. Mehrpouya ◽

M. Shamsi

Keyword(s):

Optimal Control ◽

Control Theory ◽

Boundary Value Problems ◽

Optimal Control Theory ◽

Boundary Value ◽

Continuation Methods ◽

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Solution methods for boundary-value problems of optimal control theory

Soviet Applied Mechanics ◽

10.1007/bf00888407 ◽

1971 ◽

Vol 7 (6) ◽

pp. 639-644

Author(s):

A. A. Bolonkin

Keyword(s):

Optimal Control ◽

Control Theory ◽

Boundary Value Problems ◽

Optimal Control Theory ◽

Boundary Value ◽

Solution Methods

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Singular Perturbations of Two-Point Boundary Value Problems Arising in Optimal Control

SIAM Journal on Control and Optimization ◽

10.1137/0314016 ◽

1976 ◽

Vol 14 (2) ◽

pp. 189-215 ◽

Author(s):

Marvin I. Freedman ◽

James L. Kaplan

Keyword(s):

Optimal Control ◽

Boundary Value Problems ◽

Singular Perturbations ◽

Boundary Value ◽

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A shooting method for solving two-point boundary-value problems arising from non-singular bang-bang optimal control problems

International Journal of Control ◽

10.1080/00207177808922388 ◽

1978 ◽

Vol 27 (4) ◽

pp. 513-524 ◽

Author(s):

G. J. LASTMAN

Keyword(s):

Optimal Control ◽

Boundary Value Problems ◽

Shooting Method ◽

Optimal Control Problems ◽

Boundary Value ◽

Control Problems ◽

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Asymptotic Solution of a Boundary-Value Problem for Linear Singularly-Perturbed Functional Differential Equations Arising in Optimal Control Theory

Journal of Optimization Theory and Applications ◽

10.1023/a:1004651430364 ◽

2000 ◽

Vol 106 (2) ◽

pp. 309-335 ◽

Author(s):

V. Y. Glizer

Keyword(s):

Optimal Control ◽

Differential Equations ◽

Control Theory ◽

Boundary Value Problem ◽

Asymptotic Solution ◽

Optimal Control Theory ◽

Boundary Value ◽

Functional Differential Equations ◽

Singularly Perturbed ◽

Functional Differential

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Improved method of solution of 2-point boundary-value problems arising in optimal control

Electronics Letters ◽

10.1049/el:19690399 ◽

1969 ◽

Vol 5 (21) ◽

pp. 532 ◽

Author(s):

A. Griffin

Keyword(s):

Optimal Control ◽

Boundary Value Problems ◽

Boundary Value ◽

Point Boundary ◽

Improved Method ◽

Method Of Solution

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Jump Discontinuous Two Point Boundary Value Problems In Optimal Control

1992 American Control Conference ◽

10.23919/acc.1992.4792047 ◽

1992 ◽

Author(s):

Jiann-Shiun Lew ◽

D. Joseph Mook

Keyword(s):

Optimal Control ◽

Boundary Value Problems ◽

Boundary Value ◽

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Comment on ‘Improved method of solution of 2-point boundary-value problems arising in optimal control’ [and reply]

Electronics Letters ◽

10.1049/el:19690532 ◽

1969 ◽

Vol 5 (26) ◽

pp. 708

Author(s):

P.L. Neely ◽

A. Griffin

Keyword(s):

Optimal Control ◽

Boundary Value Problems ◽

Boundary Value ◽

Point Boundary ◽

Improved Method ◽

Method Of Solution

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Elimination of the Two-Point Boundary-Value Problems in the Optimal Control of a Second-Order System

IEEE Transactions on Industrial Electronics and Control Instrumentation ◽

10.1109/tieci.1972.351115 ◽

1972 ◽

Vol IECI-19 (3) ◽

pp. 78-81 ◽

Author(s):

Leonard H. Lees

Keyword(s):

Optimal Control ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Order System ◽

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Solution of linear two-point boundary value problems via a collocation method and application to optimal control

International Journal of Computer Mathematics ◽

10.1080/00207169508804366 ◽

1995 ◽

Vol 55 (1-2) ◽

pp. 105-111 ◽

Author(s):

Gamal N. Elnagar ◽

Mohsen Razzaghi

Keyword(s):

Optimal Control ◽

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

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Solution of linear two-point boundary value problems via Fourier series and application to optimal control of linear systems

Journal of the Franklin Institute ◽

10.1016/0016-0032(89)90049-5 ◽

1989 ◽

Vol 326 (4) ◽

pp. 523-533 ◽

Author(s):

Mohsen Razzaghi ◽

Alireza Tahai ◽

Abdollah Arabshahi

Keyword(s):

Optimal Control ◽

Fourier Series ◽

Boundary Value Problems ◽

Linear Systems ◽

Boundary Value ◽

Point Boundary ◽

Control Of Linear Systems

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