Equivalence of nonlinear systems to prime systems under generalized output transformations

被引：6
|
作者：
Aranda-Bricaire, E
Hirschorn, RM
机构：
[1] Inst Politecn Nacl, Ctr Invest & Estudios Avanzados, Dept Ingn Elect, Mexico City 07000, DF, Mexico
[2] Queens Univ, Dept Math & Stat, Kingston, ON K7L 3N6, Canada
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1998年 / 37卷 / 01期
关键词：
nonlinear systems; output transformation; prime systems; differential forms;
D O I：
10.1137/S0363012996307060
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Within a linear algebraic framework, we present a new characterization of the class of nonlinear systems which are equivalent to a prime system. We then introduce a class of generalized output transformations that can be thought of as a generalization to the nonlinear setting of a unimodular transformation in the output space. Our main result gives necessary and sufficient conditions for equivalence to a prime system under a certain group of transformations that includes generalized output transformations.
引用
收藏
页码：118 / 130
页数：13
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