Almost global attraction in planar systems

DOI10.1016/j.sysconle.2004.11.014zbMath1129.34306OpenAlexW1968819902MaRDI QIDQ2504573

Pablo Monzón

Publication date: 25 September 2006

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://hdl.handle.net/20.500.12008/21294

zbMATH Keywords

planar systemsglobal attractionalmost global stabilitymonotone measuresPoincaré--Bendixson

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Global stability of solutions to ordinary differential equations (34D23)

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Cites Work

• On necessary conditions for almost global stability
• Nonlinear Control Synthesis by Convex Optimization
• An Almost Global Notion of Input-to-State Stability
• A dual to Lyapunov's stability theorem
• Unnamed Item

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