On the Optimal Control Problem for Vibrations of the Rod/String Consisting of Two Non-Homogeneous Sections with the Condition at an Intermediate Time

On the Optimal Control Problem for Vibrations of the Rod/String Consisting of Two Non-Homogeneous Sections with the Condition at an Intermediate Time

We consider an optimal boundary control problem for a one-dimensional wave equation consisting of two non-homogenous segments with piecewise constant characteristics. The wave equation describes the longitudinal vibrations of a non-homogeneous rod or the transverse vibrations of a non-homogeneous st...

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Bibliographic Details
Main Authors: Vanya Barseghyan, Svetlana Solodusha
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Mathematics
Subjects:
optimal vibration control
longitudinal vibrations of a piecewise homogeneous rod
transverse vibrations of a piecewise homogeneous string
optimal boundary control
intermediate condition
separation of variables
Online Access:https://www.mdpi.com/2227-7390/10/23/4444

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