Some properties of Lyapunov function sets

DOI10.1090/S0002-9939-2010-10298-8zbMath1207.93094OpenAlexW2037223989MaRDI QIDQ3056549

Emmanuel Moulay

Publication date: 12 November 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10298-8

zbMATH Keywords

convex conesLyapunov functions

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Lyapunov and storage functions (93D30) Stability of solutions to ordinary differential equations (34D20) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Cites Work

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• Common solution to the Lyapunov equation for \(2 \times 2\) complex matrices
• Stability analysis of complex dynamical systems. Some computational methods
• Asymptotic stability and smooth Lyapunov functions
• Estimation of sliding mode domains of uncertain variable structure systems with bounded controllers
• Convex invertible cones and the Lyapunov equation

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