Model reduction for delay differential equations with guaranteed stability and error bound
2015 (English)In: Automatica, ISSN 0005-1098, Vol. 55, 132-139 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2015. Vol. 55, 132-139 p.
Model reduction, Delay differential equations, Stability, Error bound, Nonlinearity, Time-varying delays
IdentifiersURN: urn:nbn:se:kth:diva-164176DOI: 10.1016/j.automatica.2015.02.031ISI: 000354340200017ScopusID: 2-s2.0-84927929691OAI: oai:DiVA.org:kth-164176DiVA: diva2:804947
QC 201504142015-04-142015-04-142015-06-12Bibliographically approved