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Application of the direct method of Lyapunov to the analysis of integral sets

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Publication:3138166
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DOI10.1007/BF01057679zbMath0788.34055OpenAlexW65875479MaRDI QIDQ3138166

A. O. Ignat'ev

Publication date: 13 March 1994

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01057679


zbMATH Keywords

stabilityasymptotic stabilityattractionintegral manifoldssecond method of Lyapunov


Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Stability of manifolds of solutions to ordinary differential equations (34D35)


Related Items (4)

On the construction of the Lyapunov function with sign-definite derivative with the help of auxiliary functions with sign-constant derivatives ⋮ Asymptotic stability of integral sets ⋮ On the stability of invariant sets of systems with impulse effect ⋮ Stability investigation of invariant sets by means of semidefinite Lyapunov functions







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