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

Mathematica Balkanica New Series (2010)

- Volume: 24, Issue: 3-4, page 253-266
- ISSN: 0205-3217

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topRubeša, 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 -

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