Stability analysis of large-scale functional differential systems

The present paper is focused on a new method for analysis of stability of solutions of a large-scale functional differential system via matrix-valued Lyapunov-Krasovskii functionals. The stability conditions are based on information about the dynamical behavior of subsystems of the general system an...

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Bibliographic Details
Date:2007
Main Author: Martynyuk, A.A.
Format: Article
Language:English
Published: Інститут математики НАН України 2007
Series:Український математичний журнал
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Stability analysis of large-scale functional differential systems / A.A. Martynyuk // Український математичний журнал. — 2007. — Т. 59, № 3. — С. 382–394. — Бібліогр.: 27 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:The present paper is focused on a new method for analysis of stability of solutions of a large-scale functional differential system via matrix-valued Lyapunov-Krasovskii functionals. The stability conditions are based on information about the dynamical behavior of subsystems of the general system and properties of the functions of interconnection between them.