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

Jiangfeng Zhang; Claude H. Moog; Xiao Hua Xia

Kybernetika (2010)

  • Volume: 46, Issue: 5, page 799-830
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Zhang, Jiangfeng, Moog, Claude H., and Xia, Xiao Hua. "Realization of multivariable nonlinear systems via the approaches of differential forms and differential algebra." Kybernetika 46.5 (2010): 799-830. <http://eudml.org/doc/196510>.

@article{Zhang2010,
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.},
author = {Zhang, Jiangfeng, Moog, Claude H., Xia, Xiao Hua},
journal = {Kybernetika},
keywords = {realization; nonlinear system; differential ideal; differential form; realization; nonlinear system; differential ideal; differential form},
language = {eng},
number = {5},
pages = {799-830},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Realization of multivariable nonlinear systems via the approaches of differential forms and differential algebra},
url = {http://eudml.org/doc/196510},
volume = {46},
year = {2010},
}

TY - JOUR
AU - Zhang, Jiangfeng
AU - Moog, Claude H.
AU - Xia, Xiao Hua
TI - Realization of multivariable nonlinear systems via the approaches of differential forms and differential algebra
JO - Kybernetika
PY - 2010
PB - Institute of Information Theory and Automation AS CR
VL - 46
IS - 5
SP - 799
EP - 830
AB - 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.
LA - eng
KW - realization; nonlinear system; differential ideal; differential form; realization; nonlinear system; differential ideal; differential form
UR - http://eudml.org/doc/196510
ER -

References

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