title: Asymptotic properties and stabilization of a neutral type system with constant delay
metadata.name: dc.contributor.author
metadata.value: Grebenshchikov, Boris G.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-05-04T14:32:10Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-05-04T14:32:10Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Grebenshchikov B. G. Asymptotic properties and stabilization of a neutral type system with constant delay. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2021, vol. 17, iss. 1, pp. 81–96.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2021.108
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/28426
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The problem of obtaining sufficient conditions for the asymptotic stability for a certain
  class of linear systems of a neutral type with constant delay is analyzed in the article. Some
  coefficients of these systems in the right side have an exponential factor. As a consequence, the
  study of the stability of such systems with the help of the Lyapunov—Krasovskii functionals is not possible; methods of receiving asymptotic appreciations lead to extremely rough results.
  By applying the apparatus of difference systems and the properties of simpler systems,
  which the author examined previous, sufficient conditions for the exponential stability of
  such systems are obtained. As an example, a second-order system is considered. The graphs
  of the solutions of the corresponding system, both without neutral members and with the
  original system where the right-hand side contains neutral terms, are provided. On the basis
  of theory difference systems, the author proposes an algorithm of stabilization for some
  systems of a similar type.
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 17; Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: delay
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: exponential stability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: difference systems
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: stabilization
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: control
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Asymptotic properties and stabilization of a neutral type system with constant delay
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 08_Гребенщиков.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/28426/1/08_%d0%93%d1%80%d0%b5%d0%b1%d0%b5%d0%bd%d1%89%d0%b8%d0%ba%d0%be%d0%b2.pdf
resources.format: Adobe PDF
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