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http://hdl.handle.net/11701/29870
Полная запись метаданных
Поле DC | Значение | Язык |
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dc.contributor.author | Аlexandrova, Irina V. | - |
dc.contributor.author | Zhabko, Аlexey Р. | - |
dc.date.accessioned | 2021-07-14T13:59:46Z | - |
dc.date.available | 2021-07-14T13:59:46Z | - |
dc.date.issued | 2021-06 | - |
dc.identifier.citation | 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. | en_GB |
dc.identifier.other | https //doi.org/10.21638/11701/spbu10.2021.208 | - |
dc.identifier.uri | http://hdl.handle.net/11701/29870 | - |
dc.description.abstract | 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. | en_GB |
dc.description.sponsorship | This work was supported by the Russian Science Foundation (project N 19-71-00061). | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 17; Issue 2 | - |
dc.subject | time delay systems | en_GB |
dc.subject | homogeneous systems | en_GB |
dc.subject | asymptotic stability | en_GB |
dc.subject | Lyapunov-Кrasovskii functionals | en_GB |
dc.subject | attraction region | en_GB |
dc.title | Lyapunov - Кrasovskii functionals for homogeneous systems with multiple delays | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 2 |
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Файл | Описание | Размер | Формат | |
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183-195.pdf | 384,74 kB | Adobe PDF | Просмотреть/Открыть |
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