Feedback-invariant subspaces in infinite-dimensional systems

被引：0
|
作者：
Morris, Kirsten [1 ]
Rebarber, Richard [1 ]
机构：
[1] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada
来源：
2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8 | 2005年
关键词：
D O I：
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中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We consider single-input single-output systems on a Hilbert space X, with infinitesimal generator A, bounded control element b, and bounded observation element c. Let c(perpendicular to) be the subspace of X perpendicular to c. We consider the problem of finding the largest feedback-invariant subspace of c(perpendicular to). If b is in c(perpendicular to), and c is not an element of D(A*), a largest feedback-invariant subspace does not exist in general.
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页码：2475 / 2480
页数：6
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