Feedback stabilization of planar nonlinear systems

DOI10.1016/0167-6911(89)90100-XzbMath0684.93062OpenAlexW2175241886MaRDI QIDQ1825837

William M. Boothby, Riccardo Marino

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0167-6911(89)90100-x

zbMATH Keywords

center manifold theorysmooth state feedbacksecond-order control systems

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10)

Related Items (12)

Stabilization of a class of multi-inputs nonlinear systems ⋮ Global stabilization of non-linear singularly perturbed systems with fast actuators: exact design manifold approach ⋮ Planar nonlinear systems: Practical stabilization and Hermes controllability condition ⋮ Feedback stabilization of real analytic systems in the plane ⋮ A local stabilization theorem for interconnected systems ⋮ Optimal controllers and output feedback stabilization ⋮ Unnamed Item ⋮ Linear feedback stabilization of nonlinear systems with an uncontrollable critical mode ⋮ Linear stabilization of nonlinear cascade systems ⋮ Asymptotic feedback stabilization: A sufficient condition for the existence of control Lyapunov functions ⋮ Global stabilization of a certain class of nonlinear systems ⋮ Stabilization of nonlinear systems: A bilinear approach

Cites Work

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• Stabilization of a class of nonlinear systems by a smooth feedback control
• Feedback stabilization of single-input nonlinear systems
• Local stabilization of minimum-phase nonlinear systems
• Applications of centre manifold theory
• Geometric properties of linearizable control systems

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