title: On the limiting behavior of a time-delay system’s solutions
metadata.name: dc.contributor.author
metadata.value: Kuptsova, Svetlana E.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kuptsov, Sergey Yu.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Stepenko, Nikolai A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2018-07-18T12:13:29Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-07-18T12:13:29Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2018-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Kuptsova S. E., Kuptsov S. Yu., Stepenko N. A. On the limiting behavior of a timedelay system’s solutions. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2018, vol. 14, iss. 2, pp. 173–182.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11702/spbu10.2018.210
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/10448
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In the present paper, we study motions of time-delay systems that have limiting behavior for
  an unbounded increase in time in the case when the limit sets might not be invariant with
  respect to initial differential-difference equations. The concept of an asymptotic quiescent
  position for the trajectories of time-delay systems is introduced. By the use of the Lyapunov
  functionals method, sufficient conditions for the existence of an asymptotic quiescent position
  for systems of differential-difference equations were obtained. In the case when a general system has a trivial solution, new sufficient conditions for its asymptotic stability are
  obtained. Namely, the condition of the negativity of the time-derivative of Krasovskii
  functionals is weakened.
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 14; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: Time-delay systems
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: asymptotic stability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: asymptotic quiescent position
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Lyapunov functions
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On the limiting behavior of a time-delay system’s solutions
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 10-Kuptsova.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/10448/1/10-Kuptsova.pdf
resources.format: Adobe PDF
resources.size: 250,67 kB