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The construction of Lyapunov functions with sign-definite derivative for systems satisfying the Barbashin–Krasovskii theorem

✍ Scribed by A.M. Kovalev

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 240 KB
Volume: 72
Category: Article
ISSN: 0021-8928
DOI: 10.1016/j.jappmathmech.2008.04.008

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✦ Synopsis

The asymptotic stability of the zero solution of autonomous systems of differential equations is considered. For systems satisfying the Barbashin-Krasovskii theorem positive-definite functions are constructed having a negative-definite derivative. The investigation is based on the method of invariant relations.

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