Geodesic
A boundary layer method for the construction of approximate attainability sets of control systems
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 5 (2013) no. 1, pp. 18-25

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A boundary layer method for the construction of approximate attainability sets of dynamical sys­ tems in the $n$-dimensional Euclidean space with phase constraints is given. This method belongs to the group of grid methods and it is based on the approach when only the points of a boundary layer are used in an iterative process but not the points of a constructed set. This method allows us to speed up the calculations by reducing the number of calculating points in traditional grid methods.
Keywords: control system, differential inclusion, attainability set, grid-based method. 
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     title = {A boundary layer method for the construction of approximate attainability sets of control systems},
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A. A. Zimovets. A boundary layer method for the construction of approximate attainability sets of control systems. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 5 (2013) no. 1, pp. 18-25. http://geodesic.mathdoc.fr/item/VYURM_2013_5_1_a3/