Linear Controllability Versus Global Controllability

被引：4

作者：

Sun, Yimin ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2009年 / 54卷 / 07期

关键词：

Control curve; controllability; nonlinearity; planar systems; AFFINE NONLINEAR-SYSTEMS;

D O I：

10.1109/TAC.2009.2020643

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, the relationship between linear controllability and global controllability for a class of two dimensional nonlinear control systems (x)over dot = Ax + B(x)u has been discussed in detail. It is shown that the linear controllability can imply the global controllability under some certain conditions. Furthermore, a counterexample is constructed to answer an open problem in the paper [ X. M. Hu and C. Martin, Linear Reachability Versus Global Stabilization, IEEE Transactions on Automatic Control, vol. 44, no. 6, pp. 1303-1305, 1999].

引用

页码：1693 / 1697

页数：5

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