Model reduction for delay differential equations with guaranteed stability and error bound
Model reduction for delay differential equations with guaranteed stability and error bound
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DOI：
10.1016/j.automatica.2015.02.031
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发表时间：
2015-05
期刊：
影响因子：
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通讯作者：
N. Wouw;W. Michiels;B. Besselink
中科院分区：
文献类型：
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作者：
N. Wouw;W. Michiels;B. Besselink
本文提出了一类时滞微分方程的结构保持模型简化方法。这种方法的优点是，首先，系统的延迟性质在缩减后得以保留，其次，保留了输入输出稳定性属性，第三，提供了反映缩减准确性的可计算误差界限。这些结果适用于具有恒定延迟的大规模线性延迟微分方程，而且还提出了对一类具有时变延迟的非线性延迟微分方程的扩展。通过示例证明了结果的有效性。
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.