title: RESEARCH OF THE ASYMPTOTIC EQUILIBRIUM OF TIME-DELAY SYSTEMS BY JUNCTION OF LYAPUNOV - KRASOVSKII AND RAZUMIKHIN APPROACHES
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.date.accessioned
metadata.value: 2022-08-17T19:33:52Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-08-17T19:33:52Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: KUPTSOVA S. E., KUPTSOV S. Yu. RESEARCH OF THE ASYMPTOTIC EQUILIBRIUM OF TIME-DELAY SYSTEMS BY JUNCTION OF LYAPUNOV - KRASOVSKII AND RAZUMIKHIN APPROACHES. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2022, vol. 18, iss. 2, pp. 198–208.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: DOI: 10.21638/11701/spbu10.2022.201
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/37405
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The nonlinear time-delay systems are considered and the limiting Behavior of their solutions is investigated. The case in which the solutions have a trivial equilibrium that may not be an invariant set of the system is studied. The junction of Lyapunov - Krasovskii and Razumikhin approaches is applied to obtain sufficient conditions for the existence of an asymptotic quiescent position in the large. In the case when a general system has a trivial solution, new sufficient conditions for its asymptotic stability are obtained. Examples, that illustrate the application of the obtained results, are given.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
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 18; 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 - KRASOVSKII FUNCTIONALS
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: RESEARCH OF THE ASYMPTOTIC EQUILIBRIUM OF TIME-DELAY SYSTEMS BY JUNCTION OF LYAPUNOV - KRASOVSKII AND RAZUMIKHIN APPROACHES
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 198-208.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/37405/1/198-208.pdf
resources.format: Adobe PDF
resources.size: 396,58 kB