Stabilization via homogeneous feedback controls

DOI10.1016/J.AUTOMATICA.2008.05.003zbMath1152.93475OpenAlexW2047522590MaRDI QIDQ2518834

Emmanuel Moulay

Publication date: 20 January 2009

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2008.05.003

zbMATH Keywords

feedback stabilizationcontrol Lyapunov functionhomogeneous system

Mathematics Subject Classification ID

Feedback control (93B52) Stabilization of systems by feedback (93D15)

Related Items (8)

Homogeneous Feedback Control of Nonlinear Systems Based on Control Lyapunov Functions ⋮ Nonsmooth stabilization of a class of nonlinear cascaded systems ⋮ Global finite-time stabilization of planar nonlinear systems with disturbance ⋮ On homogeneity and its application in sliding mode control ⋮ Controller design for nonlinear affine systems by control Lyapunov functions ⋮ Necessary and sufficient conditions of optimality for a damped hyperbolic equation in one-space dimension ⋮ Unnamed Item ⋮ Homogeneous feedback design of differential inclusions based on control Lyapunov functions

Cites Work

• Unnamed Item
• Finite time stability and stabilization of a class of continuous systems
• Adding an integrator for the stabilization problem
• Homogeneous Lyapunov function for homogeneous continuous vector field
• Hypoelliptic differential operators and nilpotent groups
• A `universal' construction of Artstein's theorem on nonlinear stabilization
• Geometric homogeneity with applications to finite-time stability
• Nilpotent and High-Order Approximations of Vector Field Systems
• Homogeneous State Feedback Stabilization of Homogenous Systems
• Stabilizability Does Not Imply Homogeneous Stabilizability for Controllable Homogeneous Systems

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