Robust performance analysis for parameter dependent systems using tensor product splines

Robust performance analysis for parameter dependent systems using tensor product splines
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使用张量积样条对参数相关系统进行鲁棒性能分析

DOI:
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发表时间:
1998
期刊:
Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171)
影响因子:
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通讯作者:
C. Scherer
C. Scherer
中科院分区:
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文献类型:
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作者:
C. Scherer

文献摘要

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我们表明,张量积样条形成了数值构造参数相关李雅普诺夫函数的合适工具,以测试依赖于时变参数的系统的鲁棒性能。基于这类多元样条函数的优良逼近能力,我们展示了如何在相应的鲁棒性能分析测试中避免保守性。
We show that tensor product splines form a suitable tool for numerical construction of parameter dependent Lyapunov functions to test the robust performance for systems that depend on time-varying parameters. Based on the excellent approximation power of this class of multivariate splines, we show how it is possible to avoid conservatism in the corresponding robust performance analysis test.