Reduction model approach for linear time-varying systems with delays

Document Type

Article

Publication Date

1-1-2014

Abstract

We study stabilization problems for time-varying linear systems with constant input delays. Our reduction method ensures input-to-state stability with respect to additive uncertainties, under arbitrarily long delays. It applies to rapidly time-varying systems, and gives a lower bound on the admissible rapidness parameters. We also cover slowly time-varying systems, including upper bounds on the allowable slowness parameters. We illustrate our work using a pendulum model. © 1963-2012 IEEE.

Publication Source (Journal or Book title)

IEEE Transactions on Automatic Control

First Page

2068

Last Page

2082

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