Abstract
The article presents new scientific results of research in the field of the theory of optimal control of oscillatory processes related to the manifestation of a local effect in the dynamic programming method, the implementation of a step-by-step strategy for optimizing a dynamic system for control and finding algorithms for optimal positional control. Examples are given of finding positional control in vibration protection systems with an additional controlled elastic and damping link, as well as with a potential energy recuperator.
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