Kybernetika 46 no. 5, 799-830, 2010

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

Jiangfeng Zhang, Claude H. Moog and Xiaohua Xia


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.


nonlinear system, realization, differential ideal, differential form


93B15, 93C10


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