Realization of multivariable nonlinear systems via the approaches of differential forms and differential algebra

Loading...
Thumbnail Image

Date

Authors

Zhang, Jiangfeng
Moog, Claude H.
Xia, Xiaohua

Journal Title

Journal ISSN

Volume Title

Publisher

Institute of Information Theory and Automation of Academy of Sciences of the Czech Republic

Abstract

In this paper differential forms and differential algebra are applied to give a new definition of realization for multivariable nonlinear systems consistent with the linear realization theory. Criteria for the existence of realization and the definition of minimal realization are presented. The relations of minimal realization and accessibility and finally the computation of realizations are also discussed in this paper.

Description

Keywords

Realization, Nonlinear system, Differential ideal, Differential form

Sustainable Development Goals

Citation

Zhang, J, Moog, CH & Xia, X 2010, 'Realization of multivariable nonlinear systems via the approaches of differential forms and differential algebra', Kybernetika, vol. 46, no. 5, pp. 799-830. [http://www.kybernetika.cz/]