TWO NEW MODELS FOR DESCRIPTOR SYSTEMS: TIME AND FREQUENCY BEHAVIOR

摘要

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 quantization of approximation error. By the use of Schur method, model reduction is performed either on the proper and improper parts of a high-degree original system. A numerical example is provided to illustrate the behavior of approximates vis-a-vis original system.