Abstract
The main stages in the process of formalizing and mathematically describing the dynamic regimes of energy-intensive electromechanical systems are determined. Optimality criteria are proposed to reflect specific features of certain machines used in the production of chemical fibers and filaments. A classification is presented for optimization problems and methods of solving them. The maximum principle is used as a basis for solving static and dynamic problems involving optimization of the speed regimes of energy-intensive equipment used to make nonwovens. The problems are solved with allowance for constraints on the parameters of the given system.
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