On L2-Sensitivity Minimization of Linear
On L2-Sensitivity Minimization of Linear
复制标题
关于线性的 L2 灵敏度最小化
DOI：
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发表时间：
1992
期刊：
影响因子：
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通讯作者：
J. Moore
中科院分区：
文献类型：
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作者：
Wei;J. Moore
讨论了L2-灵敏度极小化问题解的性质。特别是，一个特定的形式的解决方案是与一个绑定一起导出。这个界给出了一个洞察之间的纯Lz-灵敏度最优实现和混合L2 /L '-灵敏度最优的一个的区别。讨论了L2-灵敏度平衡截断问题，并给出了一个反例，证明了在L2-灵敏度平衡截断的情况下，通过截断一个李雅普诺夫平衡实现进行模型降阶所具有的两个主要性质都丧失了.
Properties of the solution to the L2-sensitivity mini- mization problem are discussed. In particular, a specific form of the solution is derived together with a bound. This bound gives an insight into the difference between a pure Lz-sensitivity optimal realization and a mixed L2 / L'-sensitivity optimal one. The question of L2-sensitivity balanced truncation is addressed, and a counterexample is presented to show that two main properties associated with model reduction by truncating a Lyapunov balanced realization are lost in the case of L2-sensi- tivity balanced truncation.