Reflections on the Gauss principle of least constraint

被引：15

作者：

Fan, YY ^{[1
]}

Kalaba, RE

Natsuyama, HH

Udwadia, FE

机构：

[1] Univ Calif Davis, Sch Engn, Dept Civil & Environm Engn, Davis, CA 95616 USA

[2] Univ So Calif, Dept Biomed Engn, Los Angeles, CA 90089 USA

[3] Univ So Calif, Dept Econ, Los Angeles, CA 90089 USA

[4] Calif State Univ Fullerton, Dept Syst Engn, Fullerton, CA 92634 USA

[5] Univ So Calif, Dept Civil Engn, Los Angeles, CA 90089 USA

[6] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA

[7] Univ So Calif, Informat & Operat Management Dept, Los Angeles, CA 90089 USA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2005年 / 127卷 / 03期

关键词：

Gauss principle of least constraint; nonideal nonholonomic constraints; generalized inverses of matrices;

D O I：

10.1007/s10957-005-7496-7

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The Gauss principle of least constraint is derived from a new point of view. Then, an extended principle of least constraint is derived to cover the case of nonideal constraints. Finally, a version of the principle for general underdetermined systems is adumbrated. Throughout, the notion of generalized inverses of matices plays a prominent role.

引用

页码：475 / 484

页数：10