Geodesic
Realization of multivariable nonlinear systems via the approaches of differential forms and differential algebra
Kybernetika, Tome 46 (2010) no. 5, pp. 799-830.

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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.
Classification : 93B15, 93C10
Keywords: realization; nonlinear system; differential ideal; differential form 
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     author = {Zhang, Jiangfeng and Moog, Claude H. and Xia, Xiaohua},
     title = {Realization of multivariable nonlinear systems via the approaches of differential forms and differential algebra},
     journal = {Kybernetika},
     pages = {799--830},
     publisher = {mathdoc},
     volume = {46},
     number = {5},
     year = {2010},
     mrnumber = {2778926},
     zbl = {1205.93030},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2010__46_5_a1/}
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Zhang, Jiangfeng; Moog, Claude H.; Xia, Xiaohua. Realization of multivariable nonlinear systems via the approaches of differential forms and differential algebra. Kybernetika, Tome 46 (2010) no. 5, pp. 799-830. http://geodesic.mathdoc.fr/item/KYB_2010__46_5_a1/