title: Attitude stabilization of a rigid body in conditions of decreasing dissipation
metadata.name: dc.contributor.author
metadata.value: Aleksandrov, Alexander Yu.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Tikhonov, Alexey A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-12-27T14:33:26Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-12-27T14:33:26Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Aleksandrov A.Yu., Tikhonov A.A. Attitude stabilization of a rigid body in conditions of decreasing dissipation. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 4, pp. 631–641.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2017.411
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/8808
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The article deals with the problem of triaxial stabilization of an angular position of a rigid body. The
  issue of the possibility of implementing a control system, in which dissipative torque tends to zero over
  time, and the only remaining control torque is a restoring one is raised. The case of vanishing damping
  considered in this paper is known as the most difficult one in the problem of analyzing the stability of
  mechanical systems with a nonstationary parameter at dissipative forces. A lemma about a lower estimate
  of the norm of the restoring torque in a neighborhood of the stabilized motion of a rigid body and two
  theorems on the asymptotic stability of the stabilized motion of a body are proved. It is shown that the
  sufficient conditions for asymptotic stability found in theorems are close to necessary ones. The results of
  numerical modeling illustrating the conclusions obtained in the work are presented. Refs 23. Figs 2.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке РФФИ (гранты №16-01-00587-а, №16-08-00997-а,
  №17-01-00672-а).
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 4(62); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: triaxial stabilization
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: attitude motion
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: dissipation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: evolution
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: asymptotic stability
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Attitude stabilization of a rigid body in conditions of decreasing dissipation
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 11-Alexandrov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/8808/1/11-Alexandrov.pdf
resources.format: Adobe PDF
resources.size: 338,34 kB