On Numerical Solution of Singularly Perturbed Optimal Control Problems

Journal of Optimization Theory and Applications ◽

10.1007/s10957-017-1138-8 ◽

2017 ◽

Vol 174 (3) ◽

pp. 762-784

Author(s):

Vladimir Gaitsgory ◽

Matthias Gerdts

Keyword(s):

Optimal Control ◽

Numerical Solution ◽

Optimal Control Problems ◽

Singularly Perturbed ◽

Control Problems

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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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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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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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Asymptotic series solution of singularly perturbed free time optimal control problems

10.1109/cdc.1975.270644 ◽

1975 ◽

Author(s):

P. Reddy

Keyword(s):

Optimal Control ◽

Series Solution ◽

Optimal Control Problems ◽

Asymptotic Series ◽

Free Time ◽

Time Optimal Control ◽

Singularly Perturbed ◽

Control Problems ◽

Time Optimal ◽

Asymptotic Series Solution

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On Average Control Generating Families for Singularly Perturbed Optimal Control Problems with Long Run Average Optimality Criteria

Set-Valued and Variational Analysis ◽

10.1007/s11228-014-0306-3 ◽

2014 ◽

Vol 23 (1) ◽

pp. 87-131 ◽

Author(s):

Vladimir Gaitsgory ◽

Ludmila Manic ◽

Sergey Rossomakhine

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Optimality Criteria ◽

Singularly Perturbed ◽

Control Problems ◽

Long Run ◽

Average Control

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Numerical solution of nonlinear fractal‐fractional optimal control problems by Legendre polynomials

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6326 ◽

2020 ◽

Author(s):

Mohammad Hossein Heydari ◽

Abdon Atangana ◽

Zakieh Avazzadeh

Keyword(s):

Optimal Control ◽

Numerical Solution ◽

Legendre Polynomials ◽

Optimal Control Problems ◽

Control Problems ◽

Fractional Optimal Control ◽

Fractional Optimal Control Problems

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Numerical Solution of Minimax Optimal Control Problems by Multiple Shooting

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)69241-3 ◽

1985 ◽

Vol 18 (2) ◽

pp. 242-243

Author(s):

H.J. Oberle

Keyword(s):

Optimal Control ◽

Numerical Solution ◽

Optimal Control Problems ◽

Multiple Shooting ◽

Control Problems ◽

Minimax Optimal Control ◽

Minimax Optimal Control Problems

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Boundary layer methods for certain nonlinear singularly perturbed optimal control problems

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(74)90086-9 ◽

1974 ◽

Vol 45 (2) ◽

pp. 468-484 ◽

Author(s):

R.E O'Malley

Keyword(s):

Boundary Layer ◽

Optimal Control ◽

Optimal Control Problems ◽

Singularly Perturbed ◽

Control Problems

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Numerical solution of minimax optimal control problems by multiple shooting technique

Journal of Optimization Theory and Applications ◽

10.1007/bf00939277 ◽

1986 ◽

Vol 50 (2) ◽

pp. 331-357 ◽

Author(s):

H. J. Oberle

Keyword(s):

Optimal Control ◽

Numerical Solution ◽

Optimal Control Problems ◽

Multiple Shooting ◽

Control Problems ◽

Shooting Technique ◽

Minimax Optimal Control ◽

Minimax Optimal Control Problems

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