Model reduction for a class of nonlinear delay differential equations with time-varying delays
2016 (English)In: Proceedings of the IEEE Conference on Decision and Control, IEEE conference proceedings, 2016, 6422-6428 p.Conference paper (Refereed)Text
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.
Place, publisher, year, edition, pages
IEEE conference proceedings, 2016. 6422-6428 p.
Asymptotic stability, Delay systems, Delays, Differential equations, Mathematical model, Reduced order systems, Stability analysis
IdentifiersURN: urn:nbn:se:kth:diva-188268DOI: 10.1109/CDC.2015.7403231ScopusID: 2-s2.0-84962019784ISBN: 9781479978861OAI: oai:DiVA.org:kth-188268DiVA: diva2:937349
54th IEEE Conference on Decision and Control, CDC 2015, 15 December 2015 through 18 December 2015
QC 201606152016-06-152016-06-092016-06-15Bibliographically approved