Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Homogeneous Resonance & Asymptotic Stability for Homogeneous Systems

Abstract : This paper surveys existing necessary conditions, and gives new conditions based on homogeneous resonance, for a homogeneous system to admit a homogeneous (of correct order) continuous, asymptotically stabilizing, state, feedback control. Such conditions are basic in utilizing high order, homogeneous, approximations of non-linear systems to construct asymptotically stabilizing feedback controls when linear approximations of the nonlinear system are not locally controllable. For a class of three dimensional, homogeneous, locally controllable, systems, we determine at which resonance values they can be stabilized.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [22 references]  Display  Hide  Download
Contributor : Estelle Bouzat Connect in order to contact the contributor
Submitted on : Thursday, September 25, 2014 - 2:25:08 PM
Last modification on : Friday, July 26, 2019 - 1:44:05 PM
Long-term archiving on: : Friday, December 26, 2014 - 10:50:39 AM


Files produced by the author(s)


  • HAL Id : hal-01068325, version 1



Henry Hermes, Matthias Kawski, Fabio Ancona. Homogeneous Resonance & Asymptotic Stability for Homogeneous Systems. 2014. ⟨hal-01068325⟩



Les métriques sont temporairement indisponibles