On L/sup 2/-sensitivity minimization of linear state-space systems
On L/sup 2/-sensitivity minimization of linear state-space systems
复制标题
线性状态空间系统的 L/sup 2/-灵敏度最小化
DOI：
10.1109/icsyse.1992.236939
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
John B. Moore
中科院分区：
文献类型：
--
作者：
W.;John B. Moore
讨论了L/sup 2/-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。这个界限给出了一个洞察之间的区别纯L/sup 2/-灵敏度最优实现，和混合的L/sup 2//L/sup 1/-灵敏度最优之一。讨论了L/sup 2/-灵敏度平衡截断问题，并给出了一个反例，证明了在L/sup 2/-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来降阶模型的两个主要性质丧失了. <<ETX>>
Properties of the solution to the L/sup 2/-sensitivity minimization 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 L/sup 2/-sensitivity optimal realization, and a mixed L/sup 2//L/sup 1/-sensitivity optimal one. The question of L/sup 2/-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 L/sup 2/-sensitivity balanced truncation.<<ETX>>