On stabilization of discrete control systems

The description of real processes (technical, economic, etc.) assumes limited possibility of observations and measurements, as well as dynamism and non-stationarity, which makes it difficult to find statistical estimates of parameters and use appropriate research methods. The article describes a a new approach to the problems of stabilization of a discrete dynamical system. .The problem of stabilization discrete systems is solved using pseudo-circulation of matrices and predictive control. The criteria for stabilization are set, and the conditions for the matrix of the control system are given, under which the system cannot be stabilized, no matter how the control feedback is built.