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

Jiangfeng Jeff Zhang, Claude Moog, Xiaohua Xia

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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.
Original languageEnglish
Pages (from-to)799-830
Number of pages32
Issue number5
Publication statusPublished - 2010



  • realization
  • multivariable nonlinear systems
  • differential forms
  • differential algebra

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