title: On Leonov’s method for computing the linearization of the transverse dynamics and analysis of Zhukovsky stability
metadata.name: dc.contributor.author
metadata.value: Shiriaev, Anton S.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Khusainov, Ramil R.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Mamedov, Shamil N.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Gusev, Sergey V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kuznetsov, Nikolay V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-12-06T11:12:45Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-12-06T11:12:45Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Shiriaev A. S., Khusainov R.R., Mamedov Sh.N., Gusev S.V., Kuznetsov N.V. On Leonov’s method for computing the linearization of the transverse dynamics and analysis of Zhukovsky stability. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2019, vol. 6 (64), issue 4, pp. 544–554.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu01.2019.402
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/16739
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The paper is focused on a comprehensive discussion of one of results of Prof. G. A. Leonov
  aimed at analysis of Zhukovsky stability of a solution of a nonlinear autonomous system
  by linearization. The main contribution is in deriving a linear system that approximates
  dynamics of the original nonlinear systems transverse to the vector-flow on a nominal
  behavior. As illustrated, such a linear comparison system becomes instrumental in analysis
  and re-design of classical feedback controllers developed earlier for stabilization of motions
  of nonlinear mechanical systems.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The work is supported by RFBR (grant N 18-38-20186\18) and the Leading Scientific Schools of
  Russia (grant NSh-2858.2018.1).
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. Mathematics. Mechanics. Astronomy;Volume 6 (64); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: moving Poincar´e section
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Zhukovsky stability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: transverse linearization
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On Leonov’s method for computing the linearization of the transverse dynamics and analysis of Zhukovsky stability
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 544-554.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/16739/1/544-554.pdf
resources.format: Adobe PDF
resources.size: 333,9 kB