Étale backstepping for control Lyapunov function design on manifold

DOI10.1016/j.automatica.2017.05.010zbMath1373.93275OpenAlexW2641562136MaRDI QIDQ1679083

Yasuyuki Satoh, Hisakazu Nakamura

Publication date: 8 November 2017

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2017.05.010

zbMATH Keywords

backsteppingasymptotic stabilizationcontrol Lyapunov functionanalytic designminimum projection

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Asymptotic stability in control theory (93D20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Retraction obstruction to time-varying stabilization
• Multilayer minimum projection method for nonsmooth strict control Lyapunov function design
• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• Minimum projection method for nonsmooth control Lyapunov function design on general manifolds
• Backstepping for nonsmooth systems
• Some remarks on stabilization by means of discontinuous feedbacks
• Asymptotic stabilization with locally semiconcave control Lyapunov functions on general manifolds
• Introduction to Smooth Manifolds
• Semiconcave Control-Lyapunov Functions and Stabilizing Feedbacks
• Hybrid Feedback Control and Robust Stabilization of Nonlinear Systems
• Quaternion-Based Hybrid Control for Robust Global Attitude Tracking
• Robust nonlinear control design. State-space and Lyapunov techniques
• Constructive nonlinear control: a historical perspective
• Stability theory of dynamical systems.
• A topological obstruction to continuous global stabilization of rotational motion and the unwinding phenomenon

This page was built for publication: Étale backstepping for control Lyapunov function design on manifold