A characterization of the Lie algebra rank condition by transverse periodic functions

被引：49
|
作者：
Morin, P [1 ]
Samson, C [1 ]
机构：
[1] INRIA, F-06902 Sophia Antipolis, France
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2001年 / 40卷 / 04期
关键词：
controllability; driftless system; transversality; Lie algebra;
D O I：
10.1137/S0363012900366054
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The Lie algebra rank condition plays a central role in nonlinear systems control theory. The present paper establishes that the satisfaction of this condition by a set of smooth control vector fields is equivalent to the existence of smooth transverse periodic functions. The proof here enclosed is constructive and provides an explicit method for the synthesis of such functions.
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页码：1227 / 1249
页数：23
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