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

Rubeša, JelenaKunisch, Karl — 2010

Mathematica Balkanica New Series

AMS Subj. Classification: 49J15, 49M15 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...

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