In the paper, we develop a method for studying the time-optimization problem for a linear system with discrete time, which allows, in the general case, to improve known upper estimates of the objective function and to find guaranteeing control processes. We obtain sufficient conditions for convergence to the optimal solution in the problem and implement the method as an effective numerical algorithm.

The article considers the problem of continuous production management. The technological process of sheet glass production is chosen as an example. We have analyzed the process of sheet glass forming. We have described the main stages of production. They propose a model based on situational control to develop a control system for glass production.