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On the construction of the Lyapunov function with sign-definite derivative with the help of auxiliary functions with sign-constant derivatives

✍ Scribed by Ignatyev, Aleksandr O.

Book ID
120154137
Publisher
Springer US
Year
2013
Tongue
English
Weight
237 KB
Volume
190
Category
Article
ISSN
1573-8795

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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 invarian