Model reduction for a class of nonlinear delay differential equations with time-varying delays

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Model reduction for a class of nonlinear delay differential equations with time-varying delays

Conference Paper (2015)

Author(s)

Nathan Van De Wouw (Eindhoven University of Technology, University of Minnesota System, TU Delft - Mechanical Engineering)

Wim Michiels (Katholieke Universiteit Leuven)

Bart Besselink (KTH Royal Institute of Technology)

Research Group

Team Bart De Schutter

Differential equations Stability analysis Mathematical model Delays Reduced order systems Asymptotic stability Delay systems

DOI related publication

https://doi.org/10.1109/CDC.2015.7403231 Final published version

To reference this document use

https://resolver.tudelft.nl/uuid:aaa3920f-1470-4a2b-bfef-b0de20c0c7d7

More Info

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Publication Year

2015

Language

English

Research Group

Team Bart De Schutter

Article number

7403231

Pages (from-to)

6422-6428

ISBN (electronic)

9781479978861

Event

54th IEEE Conference on Decision and Control, CDC 2015 (2015-12-15 - 2015-12-18), Osaka, Japan

Downloads counter

158

Abstract

In this paper, a structure-preserving model reduction approach for a class of nonlinear delay differential equations with time-varying delays is proposed. Benefits of this approach are, firstly, the fact that the delay nature of the system is preserved after reduction, secondly, that input-output stability properties are preserved and, thirdly, that a computable error bound reflecting the accuracy of the reduction is provided. These results are also applicable to large-scale linear delay differential equations with constant delays. The effectiveness of the results is evidenced by means of an illustrative example involving the nonlinear delayed dynamics of the turning process.