The Problem of Optimal Control of String Vibrations

The problem of optimal control of string vibrations with given initial and final conditions, and nonseparated values of derivatives of deflection functions at intermediate moments of time with a performance criterion defined over the whole period is considered. The problem is solved using the method...

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Bibliographic Details
Published in:International applied mechanics 2020-07, Vol.56 (4), p.471-480
Main Author: Barsegyan, V. R.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Classical Mechanics
Physics
Physics and Astronomy
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Summary:The problem of optimal control of string vibrations with given initial and final conditions, and nonseparated values of derivatives of deflection functions at intermediate moments of time with a performance criterion defined over the whole period is considered. The problem is solved using the methods of separation of variables and the theory of optimal control of finite-dimensional systems with nonseparated multipoint intermediate conditions. As an example of the proposed approach, the effect of optimal string vibration with given nonlocal values of string velocities at two intermediate points of time is constructed.
ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-020-01030-w