Connected Stability Analysis of Delay Systems via the Matrix-Valued Lyapunov Function

By the method of combining the matrix-valued Lyapunov functional and comparison theorem, connected Lyapunov stability and practical stability of large scale delay system are studied deeply. A series of new sufficient conditions are proposed. These results are not only of theoretical but also of prac...

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Bibliographic Details
Published in:Прикладная механика
Date:2013
Main Authors: Sun, J.F., Wang, X.L.
Format: Article
Language:English
Published: Інститут механіки ім. С.П. Тимошенка НАН України 2013
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/87804
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Connected Stability Analysis of Delay Systems via the Matrix-Valued Lyapunov Function / J.F. Sun, X.L. Wang // Прикладная механика. — 2013. — Т. 49, № 5. — С. 139-144. — Бібліогр.: 6 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:By the method of combining the matrix-valued Lyapunov functional and comparison theorem, connected Lyapunov stability and practical stability of large scale delay system are studied deeply. A series of new sufficient conditions are proposed. These results are not only of theoretical but also of practical value. Методом об‘єднання матрично-значних функціоналів Ляпунова і теореми порівняння досліджено зв‘язну стійкість за Ляпуновим і практичну стійкість великих систем з запізненням. Запропоновано ряд нових достатніх умов. Результати мають не лише теоретичний сенс, але також практичне значення.
ISSN:0032-8243