publication . Preprint . 2014

Homogeneous Resonance & Asymptotic Stability for Homogeneous Systems

Hermes, Henry; Kawski, Matthias; Ancona, Fabio;
Open Access English
  • Published: 25 Sep 2014
  • Publisher: HAL CCSD
  • Country: France
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.
Subjects
free text keywords: [ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC], [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
Funded by
EC| SADCO
Project
SADCO
Sensitivity Analysis for Deterministic Controller Design
  • Funder: European Commission (EC)
  • Project Code: 264735
  • Funding stream: FP7 | SP3 | PEOPLE

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