Multilayer minimum projection method for nonsmooth strict control Lyapunov function design

DOI10.1016/J.SYSCONLE.2010.06.017zbMath1207.93096OpenAlexW1965796511MaRDI QIDQ606412

Yoshiro Fukui, Hirokazu Nishitani, Hisakazu Nakamura, Nami Nakamura

Publication date: 17 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2010.06.017

zbMATH Keywords

manifoldnonlinear systemdiscontinuous controlcontrol Lyapunov function

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Geometric methods (93B27) Asymptotic stability in control theory (93D20)

Related Items (3)

Multilayer Minimum Projection Method with Singular Point Assignment for Nonsmooth Control Lyapunov Function Design ⋮ Étale backstepping for control Lyapunov function design on manifold ⋮ Asymptotic stabilization with locally semiconcave control Lyapunov functions on general manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• Minimum projection method for nonsmooth control Lyapunov function design on general manifolds
• Control theory from the geometric viewpoint.
• Qualitative properties of trajectories of control systems: a survey
• Lyapunov's second method for nonautonomous differential equations
• Invariant Carnot–Caratheodory Metrics on $S^3$, $SO(3)$, $SL(2)$, and Lens Spaces
• Set-valued analysis
• A topological obstruction to continuous global stabilization of rotational motion and the unwinding phenomenon

This page was built for publication: Multilayer minimum projection method for nonsmooth strict control Lyapunov function design