title: Stability of Lurie-type systems with asynchronous and synchronous switching and constant delays
metadata.name: dc.contributor.author
metadata.value: Andriyanova, Natalya R.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-10-23T17:54:11Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-10-23T17:54:11Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Andriyanova N. R. Stability of Lurie-type systems with asynchronous and synchronous switching and constant delays. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2023, vol. 19, iss. 3, pp. 320–336. https://doi.org/10.21638/11701/spbu10.2023.302 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2023.302
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/44287
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The problems of analysis for systems with synchronous and asynchronous switching have been
  actively studied for the linear case. In this paper, a switched system of difference-differential
  equations, in which the right-hand side consists of a linear term and an essentially nonlinear
  part containing sector-type components is considered. This kind of systems belongs to the
  class of Lurie indirect control systems. Sufficient conditions on the system parameters and
  the switching law are investigated for asymptotic stability to be guaranteed both in the case
  of synchronous switching between subsystems and in asynchronous one. In the latter case it is
  supposed that the nonlinear delayed part switches with a lag equal to the corresponding delay.
  It is required that stability should be preserved for any constant positive delays. The problem
  is solved using the Lyapunov—Krasovsky approach. The functional is chosen that includes a
  quadratic form and integrals of nonlinearities. Restrictions that ensure asymptotic stability
  for an arbitrary switching law are found. With such an approach for the asynchronous case
  these conditions turn out to be less restrictive. By using multiple functionals the restrictions
  on the lengths of intervals between switchings are also obtained. This type of conditions are
  similar for both cases of synchronous and asynchronous switching. Theoretical results are
  demonstrated by a specially selected example.
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 19; Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: nonlinear systems
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: asymptotic stability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: synchronous and asynchronous switching
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: delays
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Lyapunov—Krasovskii method
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Stability of Lurie-type systems with asynchronous and synchronous switching and constant delays
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 02.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/44287/1/02.pdf
resources.format: Adobe PDF
resources.size: 313,32 kB