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

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.