Semi-Smooth Newton Methods for the Time Optimal Control of Nonautonomous Ordinary Differential Equations

Rubeša, Jelena, and Kunisch, Karl. "Semi-Smooth Newton Methods for the Time Optimal Control of Nonautonomous Ordinary Differential Equations." Mathematica Balkanica New Series 24.3-4 (2010): 253-266. <http://eudml.org/doc/11346>.

@article{Rubeša2010,
abstract = {AMS Subj. Classification: 49J15, 49M15The control problem of minimal time transition between two stationary points are formulated in a framework of an indirect numerical method. The problem is regularized and the monotone behavior of the regularisation procedure is investigated. Semi-smooth Newton method applied on the regularized problems converge superlinearly and usually produce a very accurate solution. Differently from other methods, this one does not need a-priory knowledge of the control switching structure. A code was developed in the C++ language and the NVIDIA CUDA technology made it even faster.* This work was completed with the support of project NAWI Graz.},
author = {Rubeša, Jelena, Kunisch, Karl},
journal = {Mathematica Balkanica New Series},
keywords = {Time Optimal Control; Switching Structure; Regularization; Semi-Smooth Newton Method; CUDA Technology; time optimal control; switching structure; regularization; semi-smooth Newton method; CUDA technology},
language = {eng},
number = {3-4},
pages = {253-266},
publisher = {Bulgarian Academy of Sciences - National Committee for Mathematics},
title = {Semi-Smooth Newton Methods for the Time Optimal Control of Nonautonomous Ordinary Differential Equations},
url = {http://eudml.org/doc/11346},
volume = {24},
year = {2010},
}

TY - JOUR
AU - Rubeša, Jelena
AU - Kunisch, Karl
TI - Semi-Smooth Newton Methods for the Time Optimal Control of Nonautonomous Ordinary Differential Equations
JO - Mathematica Balkanica New Series
PY - 2010
PB - Bulgarian Academy of Sciences - National Committee for Mathematics
VL - 24
IS - 3-4
SP - 253
EP - 266
AB - AMS Subj. Classification: 49J15, 49M15The control problem of minimal time transition between two stationary points are formulated in a framework of an indirect numerical method. The problem is regularized and the monotone behavior of the regularisation procedure is investigated. Semi-smooth Newton method applied on the regularized problems converge superlinearly and usually produce a very accurate solution. Differently from other methods, this one does not need a-priory knowledge of the control switching structure. A code was developed in the C++ language and the NVIDIA CUDA technology made it even faster.* This work was completed with the support of project NAWI Graz.
LA - eng
KW - Time Optimal Control; Switching Structure; Regularization; Semi-Smooth Newton Method; CUDA Technology; time optimal control; switching structure; regularization; semi-smooth Newton method; CUDA technology
UR - http://eudml.org/doc/11346
ER -