Optimal Hankel-norm approximation of continuous-time linear systems

David W. Lin*, Sun Yuan Kung

*此作品的通信作者

    研究成果: Article同行評審

    14 引文 斯高帕斯(Scopus)

    摘要

    A problem on optimal approximation of continuous-time linear systems is studied. The performance measure (error) is chosen to be the spectral norm of the difference between the Hankel operators associated with the original system and the approximant. It is shown that the Hankel operators associated with continuous-time systems and the Hankel matrices associated with discrete-time systems are related by an interesting correspondence property via bilinear transforms. This fact is then used to derive the continuous-time results (theory and algorithms) from the established discrete-time ones. Some simple examples are presented.

    原文English
    頁(從 - 到)407-431
    頁數25
    期刊Circuits, Systems, and Signal Processing
    1
    發行號3-4
    DOIs
    出版狀態Published - 1 9月 1982

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