有限水平系统L/sup 2/诱导范数的计算

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475) Pub Date : 2003-12-09 DOI:10.1109/CDC.2003.1272884

Bassam Bamieh

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引用次数: 2

摘要

给出了一种计算有限时间范围线性时不变系统L/sup 2/诱导范数的二分型算法。利用圈数法解决了用等分法进行有限水平范数计算的主要困难，即谱的离散性。导出了一个计算有限视界算子的奇异值的个数的积分公式。

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On computing the L/sup 2/-induced norm of finite-horizon systems

We present a bisection type algorithm for computing the L/sup 2/-induced norm of a linear time invariant system over a finite time horizon. The main difficulty in using bisection algorithms for finite horizon norm computation, namely the discreteness of the spectrum, is circumvented by using a winding number method. We derive an integral formula that counts the number of singular values of the finite horizon operator that are larger than a certain pre-specified level.

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来源期刊

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)

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