The article proposes an approximate method for separating the state variables of a linear singularly perturbed discrete control system with a small step. The resulting system with separated state variables is equivalent to the original one, since it possesses all the controllability and stabilizability properties of the original system. It consists of two low-order subsystems, the solutions of which can be found independently, and they are connected only by the control function. In the article,

more »

... to illustrate the proposed method, an example is considered that confirms the theoretical conclusions.