title: The synthesis of stabilization control by output for certain class of continuous and pulse modulated undefined systems
metadata.name: dc.contributor.author
metadata.value: Zuber, Irina E.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Gelig, Arkadiy Kh.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2018-12-13T14:27:46Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-12-13T14:27:46Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2018-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Zuber I.E., Gelig A.Kh. The synthesis of stabilization control by output for certain class of continuous and pulse modulated undefined systems. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2018, vol. 5 (63), issue 4, pp. 597–605.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2018.405
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/15127
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Consider the system x˙ 1 = ϕ1(·)+ρ1xl+1, . . . x˙m = ϕm(·)+ρmxn, x˙m+1 = ϕm+1(·)+u1, . . .
  x˙n = ϕn(·) + ul, where x1, . . . , xn is state of the system, u1, . . . , ul are controls, n
  l is not
  integer and l ≥ 2. It is supposed that only outputs x1, . . . , xl are measurable (l < n), ϕi(·)
  are non-anticipating arbitrary functionals, 0 < ρ− ≤ ρi(t, x1, . . . , xl) ≤ ρ+. With the help
  of backstepping method, we construct the square Lyapunov function and stabilize control
  for global exponential stability of closed loop system. The stabilization with the help of
  modulators with sufficiently elevated frequency of impulsation is also considered.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке РФФИ (грант №17-01-00102a).
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 5 (63); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: uncertain systems
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: output stabilization
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: global exponential stability
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: The synthesis of stabilization control by output for certain class of continuous and pulse modulated undefined systems
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 05-Zuber.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/15127/1/05-Zuber.pdf
resources.format: Adobe PDF
resources.size: 292,52 kB