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• W1970733391 abstract "This article studies the realisability property of discrete-time bilinear and quadratic input–output (i/o) equations in the classical state-space form. Constraints on the parameters of the i/o model are suggested that lead to realisable models. Using new formulae for computing basis vectors of certain vector spaces of differential one-forms, we present in this article the complete list of the third- and fourth-order realisable i/o bilinear models, and a new realisable subclass of an arbitrary order is suggested. Moreover, we provide the sufficient conditions of the second- and third-order realisable i/o quadratic models, respectively. All the developed theory and algorithms are illustrated by means of several examples." @default.
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• W1970733391 date "2011-12-01" @default.
• W1970733391 modified "2023-10-05" @default.
• W1970733391 title "Minimal realisation of bilinear and quadratic input–output difference equations in state-space form" @default.
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• W1970733391 doi "https://doi.org/10.1080/00207179.2011.631587" @default.
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