title: Lyapunov - Кrasovskii functionals for homogeneous systems with multiple delays
metadata.name: dc.contributor.author
metadata.value: Аlexandrova, Irina V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Zhabko, Аlexey Р.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-07-14T13:59:46Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-07-14T13:59:46Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Аlexandrova I. V., Zhabko А. Р. Lyapunov - Кrasovskii functionals for homogeneous systems with multiple delays. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2021, vol. 17, iss. 2, pp. 183-195.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https //doi.org/10.21638/11701/spbu10.2021.208
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/29870
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this article, explicit constructions of Lyapunov - Кrasovskii functionals are proposed for homogeneous systems with multiple constant delays and homogeneity degree of the right- hand sides strictly greater than one. The constructions are based on the Lyapunov functions suitable for the analysis of corresponding systems with all delays equal to zero. The letter systems are assumed to be asymptotically stable. It is proved that the proposed functionals satisfy the conditions of the Кrasovskii theorem, and hence it allows us to establish the asymptotic stability of the trivial solution for arbitrary values of delays. The functionals are applied to the estimation of the attraction region of the trivial solution.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported by the Russian Science Foundation (project N 19-71-00061).
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 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: time delay systems
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: homogeneous systems
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: asymptotic stability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Lyapunov-Кrasovskii functionals
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: attraction region
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Lyapunov - Кrasovskii functionals for homogeneous systems with multiple delays
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 183-195.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/29870/1/183-195.pdf
resources.format: Adobe PDF
resources.size: 384,74 kB