Geodesic
Numerical Methods for Calculation of Time-Optimal Control
The Bulletin of Irkutsk State University. Series Mathematics, Tome 8 (2014), pp. 164-177

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The article is devoted to algorithms for calculation of time-optimal control in the linear systems. Proposed set of algorithms make possible apply multi-method technique to solving time-optimal control problems with different singularity. Corresponding to this technology the solution is found by a multimethods' algorithm consisting of a sequence of steps of different methods applied to the optimization process in order to accelerate it. Such a technology allows to consider some particularities of the problem of interest at all stages of its solution and to improve the efficiency of optimal control search.
Keywords: convex hull method, attainability set, time-optimal problem, minimax algorithm, linear controlled system. 
@article{IIGUM_2014_8_a11,
     author = {A. I. Tyatyushkin},
     title = {Numerical {Methods} for {Calculation} of {Time-Optimal} {Control}},
     journal = {The Bulletin of Irkutsk State University. Series Mathematics},
     pages = {164--177},
     publisher = {mathdoc},
     volume = {8},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIGUM_2014_8_a11/}
}
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A. I. Tyatyushkin. Numerical Methods for Calculation of Time-Optimal Control. The Bulletin of Irkutsk State University. Series Mathematics, Tome 8 (2014), pp. 164-177. http://geodesic.mathdoc.fr/item/IIGUM_2014_8_a11/