title: The stability of differential-difference systems with linearly increasing delay. II. Systems with additive right side
metadata.name: dc.contributor.author
metadata.value: Ekimov, Alexander V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Zhabko, Aleksei P.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Yakovlev, Pavel V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-06-13T15:51:31Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-06-13T15:51:31Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Ekimov A. V., Zhabko A. P., Yakovlev P. V. The stability of differential-difference systems with linearly increasing delay. II. Systems with additive right side. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2023, vol. 19, iss. 1, pp. 4–9.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2023.101
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/41570
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The article considers an uncontrolled system of differential-difference equations with a homogeneous additive right side and linearly increasing delay. Sufficient conditions for asymptotic stability are known for a number of special cases of such systems. Razumikhin's theorem on the asymptotic stability of homogeneous systems with proportional delay is formulated. Sufficient conditions for asymptotic stability are obtained basing on the asymptotic stability of the initial system without delay and constructing the Lyapunov function.
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 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: system of linear differential-differencel equations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: linearly increasing
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: time delay
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: asymptotic stability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: homogeneous system
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: The stability of differential-difference systems with linearly increasing delay. II. Systems with additive right side
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 16015-Текст статьи-54383-1-10-20230516.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/41570/1/16015-%d0%a2%d0%b5%d0%ba%d1%81%d1%82%20%d1%81%d1%82%d0%b0%d1%82%d1%8c%d0%b8-54383-1-10-20230516.pdf
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