Optimal Hankel-norm model reductions: Multivariable systems

Sun Yuan Kung*, David W. Lin


    研究成果: Conference article同行評審

    1 引文 斯高帕斯(Scopus)


    This study represents a first attempt to derive a closed-form (Hankel-norm) optimal solution for multivariable system reduction problems. The major contribution lies in the development of a minimal-degree-approximation theorem and an efficient computation algorithm. The main theorem describes a closed-form formulation for the optimal approximants, with the optimality verified by a complete error analysis. Many useful singular value and vector properties associated with block Hankel matrices are also explored. The main algorithm consists of three steps: (i) compute the right matrix-fraction-description of an adjoint system matrix, (ii) solve a (algebraic) Riccati-type equation, and (iii) find the partial fraction expansion of a rational matrix.

    頁(從 - 到)187-194
    期刊Unknown Journal
    出版狀態Published - 12月 1980
    事件19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes - Albuquerque, United States
    持續時間: 10 12月 198012 12月 1980


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