Smooth stabilizing feedback for a class of mechanical systems with a pitchfork bifurcation

DOI10.1016/0167-6911(94)90083-3zbMath0813.93057OpenAlexW1983451534MaRDI QIDQ1329774

Brigitte d'Andréa-Novel, Azgal Abichou

Publication date: 20 September 1994

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

Full work available at URL: https://doi.org/10.1016/0167-6911(94)90083-3

zbMATH Keywords

center manifold theorypitchfork bifurcationlocal stabilizationfeedback law

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Bifurcation theory for ordinary differential equations (34C23)

Related Items (1)

Smooth stabilizing feedback for a class of mechanical systems with a pitchfork bifurcation

Cites Work

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• Local feedback stabilization and bifurcation control. II: Stationary bifurcation
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Stabilization of a class of nonlinear systems by a smooth feedback control
• Local feedback stabilization and bifurcation control. I. Hopf bifurcation
• Fast projection methods for minimal design problems in linear system theory
• Applications of centre manifold theory
• Singularities and groups in bifurcation theory. Volume II
• Smooth stabilizing feedback for a class of mechanical systems with a pitchfork bifurcation
• Stabilization of nonlinear systems with uncontrollable linearization

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