An Extension of A-A-K Hankel Approximation Theory Using State-Space Formulation

C. Yang, F. Yeh
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引用次数: 3

Abstract

The optimal Hankel-norm approximation problem studied in [1] is reformulated in a state-space setting. It is shown that the A-A-K Hankel approximation theory can be generalized to optimal multivariable case. The optimal Hankel approximants obtained in this way are identical to those obtained by Glover [2], however, the present approach provides a deep insight into the A-A-K approximation theory and throws a new lignt on its future applications
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用状态空间公式推广A-A-K Hankel近似理论
在[1]中研究的最优汉克尔范数逼近问题在状态空间设置中被重新表述。证明了A-A-K - Hankel近似理论可以推广到最优多变量情况。通过这种方法得到的最优Hankel近似与Glover[2]得到的近似相同,但本方法对a - a - k近似理论有了深入的了解,并为其未来的应用提供了新的思路
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