%0 Unpublished work
%T Homogeneous Resonance & Asymptotic Stability for Homogeneous Systems
%+ Department of Applied Mathematics [Boulder]
%+ Arizona State University [Tempe] (ASU)
%+ Dipartimento di Matematica Pura e Applicata [Padova]
%A Hermes, Henry
%A Kawski, Matthias
%A Ancona, Fabio
%8 2014-09-25
%D 2014
%Z Mathematics [math]/Optimization and Control [math.OC]Preprints, Working Papers, ...
%X 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.
%G English
%2 https://inria.hal.science/hal-01068325/document
%2 https://inria.hal.science/hal-01068325/file/asfc.pdf
%L hal-01068325
%U https://inria.hal.science/hal-01068325
%~ INSMI
%~ OPENAIRE
%~ SADCO
%~ TDS-MACS