Control Lyapunov functions for homogeneous “Jurdjevic-Quinn” systems

DOI10.1051/cocv:2000112zbMath0959.93046OpenAlexW2117431422MaRDI QIDQ4504579

L. Faubourg, Jean-Baptiste Pomet

Publication date: 25 September 2000

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/90572

zbMATH Keywords

feedback stabilizationcontrol Lyapunov functionsLyapunov design

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30)

Related Items (13)

Generalization of the Jurdjevic-Quinn theorem and stabilization of bilinear control systems with periodic coefficients. I ⋮ On the construction of the Lyapunov function with sign-definite derivative with the help of auxiliary functions with sign-constant derivatives ⋮ Homogeneous Feedback Control of Nonlinear Systems Based on Control Lyapunov Functions ⋮ Homogeneous high order sliding mode design: a Lyapunov approach ⋮ Sparse Jurdjevic-Quinn stabilization of dissipative systems ⋮ Global asymptotic stabilization of autonomous bilinear complex systems ⋮ On the stabilization of homogeneous perturbed systems ⋮ Construction of control Lyapunov functions for damping stabilization of control affine systems ⋮ Constructive stabilization for quadratic input nonlinear systems ⋮ Robust feedback stabilization by means of Lyapunov-like functions determined by Lie brackets ⋮ Observers to the aid of ``strictification of Lyapunov functions ⋮ Constructions of strict Lyapunov functions for discrete time and hybrid time-varying systems ⋮ Unnamed Item

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