Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1338

 Title: Semi-Smooth Newton Methods for the Time Optimal Control of Nonautonomous Ordinary Diﬀerential Equations Authors: Rubeša, JelenaKunisch, Karl Keywords: Time Optimal ControlSwitching StructureRegularizationSemi-Smooth Newton MethodCUDA Technology Issue Date: 2010 Publisher: Bulgarian Academy of Sciences - National Committee for Mathematics Citation: Mathematica Balkanica New Series, Vol. 24, Fasc 3-4 (2010), 253p-266p Abstract: The 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. Description: AMS Subj. Classiﬁcation: 49J15, 49M15 URI: http://hdl.handle.net/10525/1338 ISSN: 0205-3217 Appears in Collections: Mathematica Balkanica New Series, Vol. 24, 2010, Fasc. 3-4

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