Descriptor systems approximation
Two singular value decomposition (SVD)-based techniques to construct different types of lower degree approximants of a singular system are presented. Such techniques enable preservation of the key properties of the original system, such as stability, and give a quantization of approximation error. The first technique consists of reducing only the proper part of the descriptor system, while the second reduces at once the proper and the improper parts of the system. The numerical results reveal the capabilities of the proposed techniques.
descriptor system singular values balancing model reduction proper and improper subsystems weierstrass canonical forms