In this article, we present up to date results on the balanced model reduction techniques for linear control systems, in particular the singular perturbation approximation. One of the most important features of this method is it allows for an a priori L2 and H∞ bounds for the approximation error. This method has been successfully applied for systems with homogeneous initial conditions, however, the main focus in this work is to derive an L2 error bound for singular perturbation approximation for system with inhomogeneous initial conditions, extending the work by Antoulas et al. The theoretical results are validated numerically.

العنوان

Mathematics

الناشر

MDBI

بلد الناشر

فرنسا

Indexing

Scopus

معامل التأثير

None

نوع المنشور

مطبوع فقط

المجلد

6

السنة

2018

الصفحات

1-16