A boundary layer method for the construction of approximate attainability sets of control systems

Artem Anatolievich Zimovets

Abstract


A boundary layer method for the construction of approximate attainability sets of dynamical systems 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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