title: Synthesis of Razumikhin and Lyapunov-Krasovskii approaches to stability analysis of time-delay systems
metadata.name: dc.contributor.author
metadata.value: Medvedeva, Irina V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Zhabko, Alexey P.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-04-11T21:02:17Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-04-11T21:02:17Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2015-01
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/2059
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper, a necessary and sufficient condition for the exponential stability of linear systems with several time-delays is presented. Such a condition is based on the construction of quadratic lower bounds for the Lyapunov-Krasovskii functionals on the special Razumikhin-type set of functions. The result reveals a constructive procedure for the stability analysis whose application is illustrated with examples.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: Elsevier Ltd
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Lyapunov-Krasovskii functionals
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Time-delay system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Stability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Stability domains
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Synthesis of Razumikhin and Lyapunov-Krasovskii approaches to stability analysis of time-delay systems
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 2015 Automatica final.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/2059/1/2015%20Automatica%20final.pdf
resources.format: Adobe PDF
resources.size: 634,86 kB