Title

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

Document Type

Article

Publication Date

8-1-2016

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.

Publication Source (Journal or Book title)

Systems and Control Letters

First Page

70

Last Page

76

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