ИСТИНА

Abstract: A simple numerical algorithm that allows to find three-dimensional projections of reachability sets is discussed that is aimed at a particular class of nonlinear control systems rather than those of general kind. The algorithm is based on using of the Cauchy characteristics to construct numerically the boundary of projection. Besides, numerical examples are given, applying the algorithm to find several three-dimensional projections for control systems of the selected class. These examples illustrate some possible situations that may occur which the algorithm may process successfully.