Filtrations in feedback synthesis: Part I - Systems and feedbacks

被引：22

作者：

Delaleau, E

da Silva, PSP

机构：

[1] Univ Paris 11, Signaux & Syst Lab, CNRS, Supelec, F-91192 Gif Sur Yvette, France

[2] Univ Sao Paulo, Escola Politecn, Dept Eng Eletron, BR-05508900 Sao Paulo, Brazil

来源：

FORUM MATHEMATICUM | 1998年 / 10卷 / 02期

关键词：

D O I：

10.1515/form.10.2.147

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents an intrinsic differential algebraic framework for considering feedback in nonlinear control systems. In particular, filtrations of differential field extensions are shown to be useful for the definition of state feedback and the interpretation of two algorithms, namely the Structure Algorithm and the Dynamic Extension Algorithm, well-known in the context of control theory. This differential algebraic approach allows defining quasi-static state feedback.

引用

页码：147 / 174

页数：28

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[41] KAHLER DIFFERENTIALS AND DIFFERENTIAL ALGEBRA [J].