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

  • Kovalev A
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Abstract

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. © 2008 Elsevier Ltd. All rights reserved.

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Authors

  • A. M. Kovalev

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