1. DSpace at Saint Petersburg State University
  2. St.PETERSBURG UNIVERSITY ACADEMIC PRESS
  3. ACADEMIC JOURNALS
  4. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes
  5. 2023
  6. Issue 1
Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на этот ресурс: http://hdl.handle.net/11701/41570
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dc.contributor.authorEkimov, Alexander V.-
dc.contributor.authorZhabko, Aleksei P.-
dc.contributor.authorYakovlev, Pavel V.-
dc.date.accessioned2023-06-13T15:51:31Z-
dc.date.available2023-06-13T15:51:31Z-
dc.date.issued2023-03-
dc.identifier.citationEkimov 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.en_GB
dc.identifier.otherhttps://doi.org/10.21638/11701/spbu10.2023.101-
dc.identifier.urihttp://hdl.handle.net/11701/41570-
dc.description.abstractThe 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.en_GB
dc.language.isoruen_GB
dc.publisherSt Petersburg State Universityen_GB
dc.relation.ispartofseriesVestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 19; Issue 1-
dc.subjectsystem of linear differential-differencel equationsen_GB
dc.subjectlinearly increasingen_GB
dc.subjecttime delayen_GB
dc.subjectasymptotic stabilityen_GB
dc.subjecthomogeneous systemen_GB
dc.titleThe stability of differential-difference systems with linearly increasing delay. II. Systems with additive right sideen_GB
dc.typeArticleen_GB
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