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http://hdl.handle.net/11701/10448
Полная запись метаданных
Поле DC | Значение | Язык |
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dc.contributor.author | Kuptsova, Svetlana E. | - |
dc.contributor.author | Kuptsov, Sergey Yu. | - |
dc.contributor.author | Stepenko, Nikolai A. | - |
dc.date.accessioned | 2018-07-18T12:13:29Z | - |
dc.date.available | 2018-07-18T12:13:29Z | - |
dc.date.issued | 2018-06 | - |
dc.identifier.citation | Kuptsova S. E., Kuptsov S. Yu., Stepenko N. A. On the limiting behavior of a timedelay system’s solutions. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2018, vol. 14, iss. 2, pp. 173–182. | en_GB |
dc.identifier.other | 10.21638/11702/spbu10.2018.210 | - |
dc.identifier.uri | http://hdl.handle.net/11701/10448 | - |
dc.description.abstract | In the present paper, we study motions of time-delay systems that have limiting behavior for an unbounded increase in time in the case when the limit sets might not be invariant with respect to initial differential-difference equations. The concept of an asymptotic quiescent position for the trajectories of time-delay systems is introduced. By the use of the Lyapunov functionals method, sufficient conditions for the existence of an asymptotic quiescent position for systems of differential-difference equations were obtained. In the case when a general system has a trivial solution, new sufficient conditions for its asymptotic stability are obtained. Namely, the condition of the negativity of the time-derivative of Krasovskii functionals is weakened. | 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 14; Issue 2 | - |
dc.subject | Time-delay systems | en_GB |
dc.subject | asymptotic stability | en_GB |
dc.subject | asymptotic quiescent position | en_GB |
dc.subject | Lyapunov functions | en_GB |
dc.title | On the limiting behavior of a time-delay system’s solutions | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 2 |
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Файл | Описание | Размер | Формат | |
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10-Kuptsova.pdf | 250,67 kB | Adobe PDF | Просмотреть/Открыть |
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