محفوظ في:
| المؤلفون الرئيسيون: | , , , |
|---|---|
| التنسيق: | Preprint |
| منشور في: |
2020
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://arxiv.org/abs/2011.07170 |
| الوسوم: |
إضافة وسم
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جدول المحتويات:
- Balanced truncation and singular perturbation approximation for linear dynamical systems yield reduced-order models that satisfy a well-known error bound involving the Hankel singular values. We show that this bound holds with equality for single-input, single-output systems, if the sign parameters corresponding to the truncated Hankel singular values are all equal. These signs are determined by a generalized state-space symmetry property of the corresponding linear model. For a special class of systems having arrowhead realizations, the signs can be determined directly from the off-diagonal entries of the corresponding arrowhead matrix. We describe how such arrowhead systems arise naturally in certain applications of network modeling, and illustrate these results with a power system model that motivated this study.