On the eight-dimensionality of the space of chess positions and their translation into control systems

Abstract

In the paper is defined the format for recording an arbitrary chess position in the form of a so-called chessbyte, which has new features compared to the well-known FEN standard. A boolean function of 8 variables is mapped to the chessbyte, which makes it possible to represent chess positions in an 8-dimensional space (in boolean cube). For the function obtained from the chess position, the construction of some types of control systems, understood in the terminology of A.A.Lyapunov and S.V.Yablonsky, is described.