Discrete-time control systems on homogeneous spaces: partition property

被引：0
|
作者：
Jordan, Jens [1 ]
机构：
[1] Univ Wurzburg, Inst Math, D-97074 Wurzburg, Germany
来源：
CONTROL AND CYBERNETICS | 2006年 / 35卷 / 04期
关键词：
discrete-time control systems; inverse iteration; partition property; system semigroup;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
If the system semigroup of a control system is a group, the system has the partition property, i.e., the reachable sets form a disjoint partition in the state space. The converse is not true in general. In this work we give sufficient conditions for the partition property for a family of discrete-time control systems on homogeneous spaces. We apply our results to Inverse Iteration systems on flag manifolds, which are closely related to numerical algorithms.
引用
收藏
页码：863 / 871
页数：9
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