title: Optimal boundary control of string oscillations by displacement at two ends with specified values of deflection function at intermediate moments of time
metadata.name: dc.contributor.author
metadata.value: Barseghyan, Vanya R.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-01-19T20:55:08Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-01-19T20:55:08Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Barseghyan V. R. Optimal boundary control of string oscillations by displacement at two ends with specified values of deflection function at intermediate moments of time. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2022, vol. 18, iss. 3, pp. 410–424.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2022.310
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/38870
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: We consider the problem of optimal boundary control for the equation of string vibrations with given initial, final conditions and given values of the string deflection function at intermediate moments of time and with a quality criterion specified over the entire time interval. Using the method of separation of variables and methods of optimal control theory with multipoint intermediate conditions, optimal boundary controls are constructed for arbitrary numbers of the first harmonics. As an application of the proposed constructive approach, a boundary optimal control is built with a given string deflection function at an intermediate moment of time.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 18; Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: string vibrations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: optimal boundary control
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: optimal vibration control
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: intermediate conditions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: variables separation
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Optimal boundary control of string oscillations by displacement at two ends with specified values of deflection function at intermediate moments of time
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 14580-Текст статьи-48032-1-10-20221012.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/38870/1/14580-%d0%a2%d0%b5%d0%ba%d1%81%d1%82%20%d1%81%d1%82%d0%b0%d1%82%d1%8c%d0%b8-48032-1-10-20221012.pdf
resources.format: Adobe PDF
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