|| Checking for direct PDF access through Ovid
The purpose of this article is to obtain the most accurate estimate for the transition process of a system. The estimate is calculated by using the Lyapunov function. Finding the most accurate estimates for transition processes is formulated as a problem of constructing the most optimal Lyapunov function. At the beginning, the optimization problems were related to finding a maximal region of asymptotic stability. Later, the methods used for optimizing the Lyapunov function were used to calculate the overcontrol measure, an integral quality criterion, and the duration of the transition process.