On Uncontrollable Discrete-Time Bilinear Systems Which are "Nearly" Controllable

被引：41
|
作者：
Tie, Lin [1 ]
Cai, Kai-Yuan [1 ]
Lin, Yan [1 ]
机构：
[1] Beijing Univ Aeronaut & Astronaut, Sch Automat Sci & Elect Engn, Beijing 100191, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2010年 / 55卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Controllable region; cyclicity; discrete-time bilinear systems; hypersurface; Jacobian determinant; near-controllability; sign patterns;
D O I：
10.1109/TAC.2010.2072551
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this note, for a class of uncontrollable discrete-time bilinear systems, it is shown that the controllable region "nearly" covers the whole space while the uncontrollable region is only a hypersurface. As a result, for almost any initial state and any terminal state of the system, the former can be transferred to the latter. In addition, the two-dimensional controllability counterexamples in [1] are generalized to arbitrary finite-dimensional cases.
引用
收藏
页码：2853 / 2858
页数：6
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