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.
|Number of pages||7|
|Publication status||Published - 2015|
|Event||54th IEEE Conference on Decision and Control (CDC) - Osaka, Japan|
Duration: 15-Dec-2015 → 18-Dec-2015
|Conference||54th IEEE Conference on Decision and Control (CDC)|
|Period||15/12/2015 → 18/12/2015|