On nearly-controllable subspaces of a class of discrete-time bilinear systems

被引：3

作者：

Tie Lin ^{[1
]}

机构：

[1] Beihang Univ, Sch Automat Sci & Elect Engn, Beijing 100191, Peoples R China

来源：

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2013年 / 26卷 / 04期

基金：

中国博士后科学基金;

关键词：

Bilinear systems; discrete-time systems; near-controllability; near-controllability index; nearly-controllable subspaces;

D O I：

10.1007/s11424-013-2012-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If a linear time-invariant system is uncontrollable, then the state space can be decomposed as a direct sum of a controllable subspace and an uncontrollable subspace. In this paper, for a class of discrete-time bilinear systems which are uncontrollable but can be nearly controllable, by studying the nearly-controllable subspaces and defining the near-controllability index, the controllability properties of the systems are fully characterized. Examples are provided to illustrate the conceptions and results of the paper.

引用

页码：512 / 526

页数：15

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