An interior penalty method for optimal control problems with state and input constraints of nonlinear systems

Optimal Control Applications and Methods ◽

10.1002/oca.2134 ◽

2014 ◽

Vol 37 (1) ◽

pp. 3-33 ◽

Author(s):

P. Malisani ◽

F. Chaplais ◽

N. Petit

Keyword(s):

Optimal Control ◽

Nonlinear Systems ◽

Penalty Method ◽

Optimal Control Problems ◽

Control Problems ◽

Input Constraints ◽

Interior Penalty ◽

Interior Penalty Method

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A constructive interior penalty method for optimal control problems with state and input constraints

2012 American Control Conference (ACC) ◽

10.1109/acc.2012.6315158 ◽

2012 ◽

Author(s):

P. Malisani ◽

F. Chaplais ◽

N. Petit

Keyword(s):

Optimal Control ◽

Penalty Method ◽

Optimal Control Problems ◽

Control Problems ◽

Input Constraints ◽

Interior Penalty ◽

Interior Penalty Method

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An interior penalty method for inequality constrained optimal control problems

IEEE Transactions on Automatic Control ◽

10.1109/tac.1967.1098628 ◽

1967 ◽

Vol 12 (4) ◽

pp. 388-395 ◽

Author(s):

L. Lasdon ◽

A. Waren ◽

R. Rice

Keyword(s):

Optimal Control ◽

Penalty Method ◽

Optimal Control Problems ◽

Control Problems ◽

Interior Penalty ◽

Constrained Optimal Control ◽

Interior Penalty Method

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An interior penalty method for distributed optimal control problems governed by the biharmonic operator

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.08.012 ◽

2014 ◽

Vol 68 (12) ◽

pp. 2205-2221 ◽

Author(s):

Thirupathi Gudi ◽

Neela Nataraj ◽

Kamana Porwal

Keyword(s):

Optimal Control ◽

Penalty Method ◽

Optimal Control Problems ◽

Control Problems ◽

Biharmonic Operator ◽

Distributed Optimal Control ◽

Interior Penalty ◽

Distributed Optimal Control Problems ◽

Interior Penalty Method

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A $$\varvec{C}^0$$ C 0 Interior Penalty Method for Elliptic Distributed Optimal Control Problems in Three Dimensions with Pointwise State Constraints

Topics in Numerical Partial Differential Equations and Scientific Computing - The IMA Volumes in Mathematics and its Applications ◽

10.1007/978-1-4939-6399-7_1 ◽

2016 ◽

pp. 1-22 ◽

Author(s):

Susanne C. Brenner ◽

Minah Oh ◽

Sara Pollock ◽

Kamana Porwal ◽

Mira Schedensack ◽

...

Keyword(s):

Optimal Control ◽

Penalty Method ◽

State Constraints ◽

Optimal Control Problems ◽

Three Dimensions ◽

Control Problems ◽

Distributed Optimal Control ◽

Pointwise State Constraints ◽

Distributed Optimal Control Problems ◽

Interior Penalty Method

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A cubic C0 interior penalty method for elliptic distributed optimal control problems with pointwise state and control constraints

Results in Applied Mathematics ◽

10.1016/j.rinam.2020.100119 ◽

2020 ◽

Vol 7 ◽

pp. 100119

Author(s):

Susanne C. Brenner ◽

Li-yeng Sung ◽

Zhiyu Tan

Keyword(s):

Optimal Control ◽

Penalty Method ◽

Optimal Control Problems ◽

Control Problems ◽

Control Constraints ◽

Distributed Optimal Control ◽

Distributed Optimal Control Problems ◽

Interior Penalty Method ◽

And Control ◽

State And Control Constraints

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Averaging Method in Optimal Control Problems for Single-Frequency Essentially Nonlinear Systems

Problems and Methods of Optimal Control ◽

10.1007/978-94-011-1194-2_3 ◽

1994 ◽

pp. 97-134

Author(s):

Leonid D. Akulenko

Keyword(s):

Optimal Control ◽

Nonlinear Systems ◽

Optimal Control Problems ◽

Averaging Method ◽

Single Frequency ◽

Control Problems

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Applications of the exterior penalty method in constrained optimal control problems

Optimal Control Applications and Methods ◽

10.1002/oca.4660100404 ◽

1989 ◽

Vol 10 (4) ◽

pp. 333-345 ◽

Author(s):

An-Qing Xing ◽

Chung-Lie Wang

Keyword(s):

Optimal Control ◽

Penalty Method ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control

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A priori error analysis of the upwind symmetric interior penalty Galerkin (SIPG) method for the optimal control problems governed by unsteady convection diffusion equations

Computational Optimization and Applications ◽

10.1007/s10589-013-9601-4 ◽

2013 ◽

Vol 57 (3) ◽

pp. 703-729 ◽

Author(s):

Tuğba Akman ◽

Hamdullah Yücel ◽

Bülent Karasözen

Keyword(s):

Optimal Control ◽

Error Analysis ◽

Optimal Control Problems ◽

A Priori ◽

Diffusion Equations ◽

Control Problems ◽

Interior Penalty ◽

Convection Diffusion ◽

A Priori Error Analysis

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Constrained optimal control problems of nonlinear systems based on improved Newton algorithms

2016 3rd International Conference on Informative and Cybernetics for Computational Social Systems (ICCSS) ◽

10.1109/iccss.2016.7586456 ◽

2016 ◽

Author(s):

Xiang Wu ◽

Kanjian Zhang

Keyword(s):

Optimal Control ◽

Nonlinear Systems ◽

Optimal Control Problems ◽

Control Problems ◽

Constrained Optimal Control

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An improved iterative computational approach to the solution of the Hamilton–Jacobi equation in optimal control problems of affine nonlinear systems with application

International Journal of Systems Science ◽

10.1080/00207721.2020.1799109 ◽

2020 ◽

Vol 51 (14) ◽

pp. 2625-2634

Author(s):

M. D. S. Aliyu

Keyword(s):

Optimal Control ◽

Nonlinear Systems ◽

Jacobi Equation ◽

Optimal Control Problems ◽

Computational Approach ◽

Control Problems ◽

Affine Nonlinear Systems ◽

Hamilton Jacobi Equation

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