Model reduction for delay differential equations with guaranteed stability and error bound

Nathan van de Wouw, Wim Michiels, Bart Besselink

OnderzoeksoutputAcademicpeer review

13 Citaten (Scopus)

Samenvatting

In this paper, a structure-preserving model reduction approach for a class of delay differential equations 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 applicable to large-scale linear delay differential equations with constant delays, but also extensions to a class of nonlinear delay differential equations with time-varying delays are presented. The effectiveness of the results is evidenced by means of an illustrative example.
Originele taal-2English
Pagina's (van-tot)132-139
Aantal pagina's8
TijdschriftAutomatica
Volume55
DOI's
StatusPublished - mei-2015
Extern gepubliceerdJa

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