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

页码：118 / 130

页数：13

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