DECOMPOSITION OF LINEAR DISCRETE CONTROLLED SYSTEM WITH A SMALL STEP

Abstract

When solving problems of optimal control of objects from various fields of science and technology, difficulties arise due to the high dimensionality of models and the presence of several temporal factors. In this regard, the problem is the decomposition of models. The paper proposes a method for decomposing a linear discrete controlled system with small steps. The equivalent system obtained with the complete separation of the state variables of a linear discrete controlled system with a small step has all the properties of the original system. It consists of two subsystems of low order, whose solutions are found independently, and they are connected only by the control function. The proposed approach combines the methods of asymptotic and approximate methods of analysis.