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

Nathan van de Wouw, Wim Michiels, Bart Besselink

OnderzoeksoutputAcademic

Samenvatting

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.
Originele taal-2English
Pagina's6422-6428
Aantal pagina's7
DOI's
StatusPublished - 2015
Extern gepubliceerdJa
Evenement54th IEEE Conference on Decision and Control (CDC) - Osaka, Japan
Duur: 15-dec-201518-dec-2015

Conference

Conference54th IEEE Conference on Decision and Control (CDC)
Land/RegioJapan
StadOsaka
Periode15/12/201518/12/2015

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