Optimization of the boundary control of string vibrations in the excitation problem with a fixed endpoint in the class W 22

摘要

We consider the problem of optimal boundary control of string vibrations by a displacement at one endpoint with the other endpoint being fixed; the problem is considered in the space (ProQuest LLC: Formulae omitted; refer to image.). The control brings the vibration process from the quiescent state to an arbitrarily prescribed state in a time that is a multiple of the double string length.[PUBLICATION ABSTRACT]