On the theorem for nonasymptotic stability in the direct Lyapunov method.

DOI10.1016/J.CRMA.2003.11.026zbMath1037.93072OpenAlexW2042519969MaRDI QIDQ1426570

Boris Kalitine

Publication date: 15 March 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2003.11.026

zbMATH Keywords

stabilityLyapunov functionsattractionpositively invariant settopological setting

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Lyapunov and storage functions (93D30) Asymptotic stability in control theory (93D20)

Related Items (5)

Unnamed Item ⋮ Lyapunov direct method for semidynamical systems ⋮ Stability of Liénard equation ⋮ Instability of closed invariant sets of semidynamical systems: method of sign-constant Lyapunov functions ⋮ Unnamed Item

Cites Work

• Stability for dynamical systems with first integrals: A topological criterion
• \(B\)-stability and its applications to the Tikhonov and Malkin-Gorshin theorems
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