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http://hdl.handle.net/11701/20757
Полная запись метаданных
Поле DC | Значение | Язык |
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dc.contributor.author | Ekimov, Alexander V. | - |
dc.contributor.author | Zhabko, Aleksei P. | - |
dc.contributor.author | Yakovlev, Pavel V. | - |
dc.date.accessioned | 2020-11-19T14:14:04Z | - |
dc.date.available | 2020-11-19T14:14:04Z | - |
dc.date.issued | 2020-09 | - |
dc.identifier.citation | Ekimov A. V., Zhabko A. P., Yakovlev P. V. The stability of differential-difference equations with proportional time delay. I. Linear controlled system. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2020, vol. 16, iss. 3, pp. 316–325. | en_GB |
dc.identifier.other | https://doi.org/10.21638/11701/spbu10.2020.308 | - |
dc.identifier.uri | http://hdl.handle.net/11701/20757 | - |
dc.description.abstract | The article considers a controlled system of linear differential-difference equations with a linearly increasing delay. Sufficient conditions for the asymptotic stability of such systems are known; however, general conditions for the stabilizability of controlled systems and constructive algorithms for constructing stabilizing controls have not yet been obtained. For a linear differential-difference equation of delayed type with linearly increasing delay, the canonical Zubov transformation is applied and conditions for the stabilization of such systems by static control are derived. An algorithm for checking the conditions for the existence of a stabilizing control and for its constructing is formulated. New theorems on stability analysis of systems of linear differential-difference equations with linearly increasing delay are proven. The results obtained can be applied to the case of systems with several proportional delays. | 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 16; Issue 3 | - |
dc.subject | system of linear differential-difference equations | en_GB |
dc.subject | linearly increasing time delay | en_GB |
dc.subject | asymptotic stability | en_GB |
dc.subject | stabilizing control | en_GB |
dc.subject | asymptotic evaluation system | en_GB |
dc.title | The stability of differential-difference equations with proportional time delay. I. Linear controlled system | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 3 |
Файлы этого ресурса:
Файл | Описание | Размер | Формат | |
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316-325.pdf | 247 kB | Adobe PDF | Просмотреть/Открыть |
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