A boundary layer method for the construction of approximate attainability sets of control systems
Authors
Artem Anatolievich Zimovets
Information Technology Department, Ural Federal University
Keywords:
control system, differential inclusion, attainability set, grid-based method
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.
Author Biography
Artem Anatolievich Zimovets, Information Technology Department, Ural Federal University
