A Shooting Algorithm for Optimal Control Problems with Singular Arcs

M. Soledad Aronna; J. Frédéric Bonnans; Pierre Martinon

doi:10.1007/s10957-012-0254-8

A Shooting Algorithm for Optimal Control Problems with Singular Arcs

Journal of Optimization Theory and Applications ◽

10.1007/s10957-012-0254-8 ◽

2013 ◽

Vol 158 (2) ◽

pp. 419-459 ◽

Cited By ~ 20

Author(s):

M. Soledad Aronna ◽

J. Frédéric Bonnans ◽

Pierre Martinon

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Singular Arcs ◽

Shooting Algorithm

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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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Using logarithmic penalties in the shooting algorithm for optimal control problems

Optimal Control Applications and Methods ◽

10.1002/oca.730 ◽

2003 ◽

Vol 24 (5) ◽

pp. 257-278 ◽

Cited By ~ 21

Author(s):

J. F. Bonnans ◽

Th. Guilbaud

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Shooting Algorithm

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A parallel-in-time multiple shooting algorithm for large-scale PDE-constrained optimal control problems

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110926 ◽

2021 ◽

pp. 110926

Author(s):

Liang Fang ◽

Stefan Vandewalle ◽

Johan Meyers

Keyword(s):

Optimal Control ◽

Large Scale ◽

Optimal Control Problems ◽

Multiple Shooting ◽

Control Problems ◽

Constrained Optimal Control ◽

Shooting Algorithm

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Nonlinear Singularly Perturbed Optimal Control Problems with Singular Arcs

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)66036-1 ◽

1978 ◽

Vol 11 (1) ◽

pp. 929-936

Author(s):

Mark D. Ardema

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Singularly Perturbed ◽

Control Problems ◽

Singular Arcs

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Well-Posedness of the Shooting Algorithm for State Constrained Optimal Control Problems with a Single Constraint and Control

SIAM Journal on Control and Optimization ◽

10.1137/06065756x ◽

2007 ◽

Vol 46 (4) ◽

pp. 1398-1430 ◽

Cited By ~ 19

Author(s):

J. Frédéric Bonnans ◽

Audrey Hermant

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Well Posedness ◽

Constrained Optimal Control ◽

Single Constraint ◽

And Control ◽

Shooting Algorithm

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Asymptotic properties of solutions of parametric optimal control problems with varying index of the singular arcs

Differential Equations ◽

10.1134/s0012266108110098 ◽

2008 ◽

Vol 44 (11) ◽

pp. 1571-1584 ◽

Cited By ~ 1

Author(s):

O. I. Kostyukova ◽

M. A. Kurdina

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Asymptotic Properties ◽

Control Problems ◽

Singular Arcs ◽

Parametric Optimal Control

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Function-space quasi-Newton algorithms for optimal control problems with bounded controls and singular arcs

Journal of Optimization Theory and Applications ◽

10.1007/bf00933131 ◽

1976 ◽

Vol 20 (4) ◽

pp. 455-479 ◽

Cited By ~ 33

Author(s):

E. R. Edge ◽

W. F. Powers

Keyword(s):

Optimal Control ◽

Function Space ◽

Optimal Control Problems ◽

Control Problems ◽

Singular Arcs ◽

Bounded Controls ◽

Quasi Newton

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Convergence of the shooting algorithm for singular optimal control problems

2013 European Control Conference (ECC) ◽

10.23919/ecc.2013.6669676 ◽

2013 ◽

Cited By ~ 1

Author(s):

M. Soledad Aronna

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Singular Optimal Control ◽

Shooting Algorithm

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Nonlinear singularly perturbed optimal control problems with singular arcs

Automatica ◽

10.1016/0005-1098(80)90091-6 ◽

1980 ◽

Vol 16 (1) ◽

pp. 99-104 ◽

Cited By ~ 12

Author(s):

Mark Ardema

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Singularly Perturbed ◽

Control Problems ◽

Singular Arcs

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An indirect numerical method for the solution of a class of optimal control problems with singular arcs

IEEE Transactions on Automatic Control ◽

10.1109/tac.1972.1099989 ◽

1972 ◽

Vol 17 (3) ◽

pp. 363-365 ◽

Cited By ~ 18

Author(s):

G. Anderson

Keyword(s):

Optimal Control ◽

Numerical Method ◽

Optimal Control Problems ◽

Control Problems ◽

Singular Arcs

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