Implicit-Explicit Runge--Kutta Schemes for Numerical Discretization of Optimal Control Problems

M. Herty; L. Pareschi; S. Steffensen

doi:10.1137/120865045

Implicit-Explicit Runge--Kutta Schemes for Numerical Discretization of Optimal Control Problems

SIAM Journal on Numerical Analysis ◽

10.1137/120865045 ◽

2013 ◽

Vol 51 (4) ◽

pp. 1875-1899 ◽

Cited By ~ 10

Author(s):

M. Herty ◽

L. Pareschi ◽

S. Steffensen

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Numerical Discretization ◽

Runge Kutta

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Convergence of Runge-Kutta Discretization for Optimal Control Problems

Fast Solution of Discretized Optimization Problems ◽

10.1007/978-3-0348-8233-0_16 ◽

2001 ◽

pp. 206-220

Author(s):

Appolinaire Nzali

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Runge Kutta

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Inexact Restoration for Runge–Kutta Discretization of Optimal Control Problems

SIAM Journal on Numerical Analysis ◽

10.1137/090766668 ◽

2010 ◽

Vol 48 (4) ◽

pp. 1492-1517 ◽

Cited By ~ 19

Author(s):

C. Yalçin Kaya

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Inexact Restoration ◽

Runge Kutta

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Runge-Kutta Discretization of Optimal Control Problems

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)43687-1 ◽

1996 ◽

Vol 29 (8) ◽

pp. 123-128

Author(s):

A. Schwartz ◽

E. Polak

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Runge Kutta

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A sequential computational approach to optimal control problems for differential-algebraic systems based on efficient implicit Runge–Kutta integration

Applied Mathematical Modelling ◽

10.1016/j.apm.2017.05.015 ◽

2018 ◽

Vol 58 ◽

pp. 313-330 ◽

Cited By ~ 4

Author(s):

Canghua Jiang ◽

Kun Xie ◽

Changjun Yu ◽

Ming Yu ◽

Hai Wang ◽

...

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Computational Approach ◽

Control Problems ◽

Algebraic Systems ◽

Runge Kutta

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A procedure to solve optimal control problems numerically by parametrization via runge-kutta-methods

Optimization ◽

10.1080/02331939808844420 ◽

1998 ◽

Vol 44 (4) ◽

pp. 421-431 ◽

Cited By ~ 1

Author(s):

H. Poppe ◽

K. Kautz

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Runge Kutta

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Symplectic Runge–Kutta discretization of a regularized forward–backward sweep iteration for optimal control problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.113133 ◽

2021 ◽

Vol 383 ◽

pp. 113133

Author(s):

Xin Liu ◽

Jason Frank

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Runge Kutta

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Runge-Kutta Discretizations of Optimal Control Problems

The Kluwer International Series in Engineering and Computer Science - System Theory: Modeling, Analysis and Control ◽

10.1007/978-1-4615-5223-9_17 ◽

2000 ◽

pp. 233-244 ◽

Cited By ~ 3

Author(s):

William W. Hager

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Runge Kutta

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Approximate Gradient Projection Method with Runge-Kutta Schemes for Optimal Control Problems

Computational Optimization and Applications ◽

10.1023/b:coap.0000039490.61195.86 ◽

2004 ◽

Vol 29 (1) ◽

pp. 91-115 ◽

Cited By ~ 5

Author(s):

I. Chryssoverghi ◽

J. Coletsos ◽

B. Kokkinis

Keyword(s):

Optimal Control ◽

Projection Method ◽

Optimal Control Problems ◽

Gradient Projection ◽

Gradient Projection Method ◽

Control Problems ◽

Runge Kutta

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Strong-order conditions of Runge-Kutta method for stochastic optimal control problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.07.002 ◽

2020 ◽

Vol 157 ◽

pp. 470-489

Author(s):

Fikriye Yılmaz ◽

Hacer Öz Bakan ◽

Gerhard-Wilhelm Weber

Keyword(s):

Optimal Control ◽

Stochastic Optimal Control ◽

Optimal Control Problems ◽

Order Conditions ◽

Control Problems ◽

Kutta Method ◽

Runge Kutta Method ◽

Runge Kutta ◽

Strong Order

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Consistent Approximations for Optimal Control Problems Based on Runge–Kutta Integration

SIAM Journal on Control and Optimization ◽

10.1137/s0363012994267352 ◽

1996 ◽

Vol 34 (4) ◽

pp. 1235-1269 ◽

Cited By ~ 55

Author(s):

A. Schwartz ◽

E. Polak

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Control Problems ◽

Consistent Approximations ◽

Runge Kutta

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