title: A Lyapunov matrix based stability criterion for a class of time-delay systems
metadata.name: dc.contributor.author
metadata.value: Gomez, Marco
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Egorov, Alexey V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Mondié, Sabine
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2018-01-31T09:10:45Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-01-31T09:10:45Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Gomez M., Egorov A. V., Mondi´e S. A Lyapunov matrix based stability criterion for a class of time-delay systems. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2017, vol. 13, iss. 4, pp. 407–416.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu10.2017.407
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/9050
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: This paper is devoted to the stability analysis of linear time-invariant systems with multiple
  delays. First, we recover some basic elements of our research. Namely, we introduce the complete
  type functionals, the delay Lyapunov matrix, and a space of special functions that allow to
  present a family of necessary stability conditions. Then, we prove a sufficient stability condition
  (instability condition) in terms of a quadratic Lyapunov—Krasovskii functional. Summarizing
  these results, we finally obtain an exponential stability criterion for a class of linear time-delay
  systems. The criterion requires only a finite number of mathematical operations to be tested
  and depends uniquely on the delay Lyapunov matrix. Refs 15.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported by Project CONACYT N 180725 and by Russian Foundation for Basic
  Research (RFBR), research project N 16-31-00436 мол_a (Работа выполнена приф инансовой поддержке CONACYT (проект №180725) и Российского фонда фундаментальных исследований (проект
  № 16-31-00436 мол_a)).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
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 13; Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: time-delay system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Lyapunov matrix
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: stability criterion
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: A Lyapunov matrix based stability criterion for a class of time-delay systems
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 07-Gomez.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/9050/1/07-Gomez.pdf
resources.format: Adobe PDF
resources.size: 234,16 kB