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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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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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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Eigenvector approach for order-reduction of singularly perturbed linear-quadratic optimal control problems

10.1016/s0005-1098(98)00141-1 ◽

1999 ◽

Vol 35 (1) ◽

pp. 151-158 ◽

Author(s):

V. Kecman ◽

S. Bingulac ◽

Z. Gajic

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Order Reduction ◽

Singularly Perturbed ◽

Control Problems ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

Quadratic Optimal Control

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Exact slow-fast decomposition of a class of non-linear singularly perturbed optimal control problems via invariant manifolds

International Journal of Control ◽

10.1080/002071799220074 ◽

1999 ◽

Vol 72 (17) ◽

pp. 1609-1618 ◽

Author(s):

E. Fridman

Keyword(s):

Optimal Control ◽

Invariant Manifolds ◽

Optimal Control Problems ◽

Singularly Perturbed ◽

Control Problems ◽

Fast Decomposition

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Asymptotic solution of singularly perturbed linear-quadratic optimal control problems with discontinuous coefficients

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542512040100 ◽

2012 ◽

Vol 52 (4) ◽

pp. 524-547 ◽

Author(s):

G. A. Kurina ◽

T. H. Nguyen

Keyword(s):

Optimal Control ◽

Asymptotic Solution ◽

Optimal Control Problems ◽

Discontinuous Coefficients ◽

Singularly Perturbed ◽

Control Problems ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

Quadratic Optimal Control

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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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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 ◽

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On reachable set of singularly perturbed differential inclusions and optimal control problems

Optimization ◽

10.1080/02331939208843861 ◽

1992 ◽

Vol 26 (3-4) ◽

pp. 325-338 ◽

Author(s):

H.D. Tuan

Keyword(s):

Optimal Control ◽

Differential Inclusions ◽

Optimal Control Problems ◽

Reachable Set ◽

Singularly Perturbed ◽

Control Problems

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A Boundary value technique for solving singularly perturbed, fixed end-point optimal control problems

Optimal Control Applications and Methods ◽

10.1002/oca.4660090407 ◽

2007 ◽

Vol 9 (4) ◽

pp. 443-448

Author(s):

Mohan K. Kadalbajoo ◽

Arindama Singh

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Boundary Value ◽

Singularly Perturbed ◽

Control Problems ◽

End Point ◽

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Singularly perturbed difference equations in optimal control problems

IEEE Transactions on Automatic Control ◽

10.1109/tac.1981.1102741 ◽

1981 ◽

Vol 26 (4) ◽

pp. 911-917 ◽

Author(s):

G. Blankenship

Keyword(s):

Optimal Control ◽

Difference Equations ◽

Optimal Control Problems ◽

Singularly Perturbed ◽

Control Problems

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