Reduction model approach for linear time-varying systems with input delays based on extensions of Floquet theory - Archive ouverte HAL Access content directly
Journal Articles Systems and Control Letters Year : 2016

Reduction model approach for linear time-varying systems with input delays based on extensions of Floquet theory

(1, 2) , (3)
1
2
3

Abstract

We solve stabilization problems for linear time-varying systems under input delays. We show how changes of coordinates lead to systems with time invariant drifts, which are covered by the reduction model method and which lead to the problem of stabilizing a time-varying system without delay. For continuous time periodic systems, we can use Floquet theory to find the changes of coordinates. We also prove an analogue for discrete time systems, through a discrete time extension of Floquet theory.
Fichier principal
Vignette du fichier
Floquet.pdf (377.16 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01389860 , version 1 (30-10-2016)

Identifiers

Cite

Frédéric Mazenc, Michael Malisoff. Reduction model approach for linear time-varying systems with input delays based on extensions of Floquet theory. Systems and Control Letters, 2016, 94 (August 2016), pp.70-76. ⟨10.1016/j.sysconle.2016.05.013⟩. ⟨hal-01389860⟩
112 View
211 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More