Continuation Method for the Numerical Solution of Singular Optimal Control Problems Using Adaptive Radau Collocation

Mapping Intimacies ◽

10.2514/6.2022-2392 ◽

2022 ◽

Author(s):

Gabriela Abadia ◽

Anil V. Rao

Keyword(s):

Optimal Control ◽

Numerical Solution ◽

Optimal Control Problems ◽

Continuation Method ◽

Control Problems ◽

Singular Optimal Control

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A Method for the Numerical Solution of Singular Optimal Control Problems Using an Adaptive Radau Collocation Method

AIAA Scitech 2021 Forum ◽

10.2514/6.2021-1456 ◽

2021 ◽

Author(s):

Elisha R. Pager ◽

Anil V. Rao

Keyword(s):

Optimal Control ◽

Numerical Solution ◽

Collocation Method ◽

Optimal Control Problems ◽

Control Problems ◽

Singular Optimal Control

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ON THE NUMERICAL SOLUTION OF OPTIMAL CONTROL PROBLEMS IN CHEBYSHEV SERIES BY THE USE OF A CONTINUATION METHOD

Memoirs of the Faculty of Science Kyushu University Series A Mathematics ◽

10.2206/kyushumfs.29.149 ◽

1975 ◽

Vol 29 (1) ◽

pp. 149-172 ◽

Author(s):

Kumiko ITOH

Keyword(s):

Optimal Control ◽

Numerical Solution ◽

Optimal Control Problems ◽

Continuation Method ◽

Control Problems ◽

Chebyshev Series

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A mixed-binary non-linear programming approach for the numerical solution of a family of singular optimal control problems

International Journal of Control ◽

10.1080/00207179.2017.1399216 ◽

2017 ◽

Vol 92 (7) ◽

pp. 1551-1566 ◽

Author(s):

Z. Foroozandeh ◽

M. Shamsi ◽

M. d. R. de Pinho

Keyword(s):

Optimal Control ◽

Linear Programming ◽

Numerical Solution ◽

Optimal Control Problems ◽

Programming Approach ◽

Control Problems ◽

Singular Optimal Control ◽

Non Linear Programming ◽

Linear Programming Approach ◽

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A Proximal Method for the Numerical Solution of Singular Optimal Control Problems Using a Modified Radau Collocation Method

AIAA Scitech 2020 Forum ◽

10.2514/6.2020-0377 ◽

2020 ◽

Author(s):

Elisha R. Pager ◽

Anil V. Rao

Keyword(s):

Optimal Control ◽

Numerical Solution ◽

Collocation Method ◽

Optimal Control Problems ◽

Control Problems ◽

Proximal Method ◽

Singular Optimal Control

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NUMERICAL SOLUTION OF TIME OPTIMAL CONTROL PROBLEMS BY A FINITE CHEBYSHEV SERIES, PART 1; COMPUTATION

Memoirs of the Faculty of Science Kyushu University Series A Mathematics ◽

10.2206/kyushumfs.34.195 ◽

1980 ◽

Vol 34 (2) ◽

pp. 195-232

Author(s):

Kumiko ITOH

Keyword(s):

Optimal Control ◽

Numerical Solution ◽

Optimal Control Problems ◽

Time Optimal Control ◽

Control Problems ◽

Chebyshev Series ◽

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Numerical solution of a class of fractional optimal control problems via the Legendre orthonormal basis combined with the operational matrix and the Gauss quadrature rule

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.03.003 ◽

2013 ◽

Vol 250 ◽

pp. 143-160 ◽

Author(s):

A. Lotfi ◽

S.A. Yousefi ◽

Mehdi Dehghan

Keyword(s):

Optimal Control ◽

Numerical Solution ◽

Orthonormal Basis ◽

Optimal Control Problems ◽

Operational Matrix ◽

Quadrature Rule ◽

Gauss Quadrature ◽

Control Problems ◽

Fractional Optimal Control Problems ◽

Gauss Quadrature Rule

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Predictor-Corrector Continuation Method for Optimal Control Problems

Variational Calculus, Optimal Control and Applications ◽

10.1007/978-3-0348-8802-8_22 ◽

1998 ◽

pp. 223-232 ◽

Author(s):

Ernst Grigat ◽

Gottfried Sachs

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Continuation Method ◽

Control Problems ◽

Predictor Corrector

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Singular optimal control problems

IEEE Transactions on Automatic Control ◽

10.1109/tac.1978.1101683 ◽

1978 ◽

Vol 23 (1) ◽

pp. 101-101

Author(s):

B. Anderson

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Singular Optimal Control

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Numerical solution of nonlinear 2D optimal control problems generated by Atangana-Riemann-Liouville fractal-fractional derivative

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.10.020 ◽

2020 ◽

Vol 150 ◽

pp. 507-518 ◽

Author(s):

M.H. Heydari

Keyword(s):

Optimal Control ◽

Fractional Derivative ◽

Numerical Solution ◽

Optimal Control Problems ◽

Control Problems

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The solution of singular optimal control problems using the modified line-up competition algorithm with region-relaxing strategy

ISA Transactions ◽

10.1016/j.isatra.2009.10.002 ◽

2010 ◽

Vol 49 (1) ◽

pp. 106-113 ◽

Author(s):

Daim-Yuang Sun

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Singular Optimal Control

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