Two New Models for Descriptor Systems: Time and Frequency Behavior

A.B.H. Adamou-Mitiche and M. Haddadi (Algeria)


High-degree system, modeling, singular systems, descrip tor systems, singular values, model reduction, Weierstrass canonical forms.


We present in this paper, a new algorithm to construct different types of lower degree approximates of a high degree singular system based onto SVD-approach, that had the main advantage to preserve the key properties of the original system, such as stability, and give a quantiza tion of approximation error. By the use of Schur method, model reduction is performed either on the proper and im proper parts of a high-degree original system. A numer ical example is provided to illustrate the behavior of ap proximates vis-à-vis original system.

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