Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7109812 | Automatica | 2015 | 8 Pages |
Abstract
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.
Keywords
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Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Nathan van de Wouw, Wim Michiels, Bart Besselink,