Retraction obstruction to time-varying stabilization

DOI10.1016/J.AUTOMATICA.2013.03.012zbMath1360.93489OpenAlexW2016971942MaRDI QIDQ522865

Emmanuel Bernuau, Emmanuel Moulay, Wilfrid Perruquetti

Publication date: 19 April 2017

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2013.03.012

zbMATH Keywords

stabilizationLyapunov stabilityretraction obstruction

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Algebraic methods (93B25) Control/observation systems in abstract spaces (93C25)

Related Items (1)

Étale backstepping for control Lyapunov function design on manifold

Cites Work

• Conley index condition for asymptotic stability
• On the topological structure of attraction basins for differential inclusions
• Minimum projection method for nonsmooth control Lyapunov function design on general manifolds
• Explicit design of time-varying stabilizing control laws for a class of controllable systems without drift
• Global asymptotic stabilization for controllable systems without drift
• Local semi-dynamical systems
• A topological obstruction to continuous global stabilization of rotational motion and the unwinding phenomenon
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