Validated numerical computation of the L ∞-norm for linear dynamical systems ✩
Validated numerical computation of the L ∞-norm for linear dynamical systems ✩
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线性动力系统 L ∞-范数的验证数值计算 ✩
DOI：
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发表时间：
2004
期刊：
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通讯作者：
M. Smithb
中科院分区：
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作者：
Masaaki Kannoa;M. Smithb
L∞范数在现代控制中起着重要的作用，本文提出了一种计算L∞范数的数值算法。该方法将L∞范数的计算问题简化为多项式的实根定位和一些Sturm链测试，两者都可以在保证精度的情况下执行。并给出了计算复杂度估计。c©2005 Elsevier Ltd.版权所有。
This paper develops a validated numerical algorithm to compute the L∞-norm, a norm which plays an important role in modern control. The method reduces the L∞-norm computation problem to real root localization of polynomials and some Sturm chain tests, both of which can be executed in a manner which guarantees accuracy. A computational complexity estimate is also given. c © 2005 Elsevier Ltd. All rights reserved.