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Based on the key idea of higher-order singular value decomposition in tensor algebra, Baranyi and Yam proposed the concept of HOSVD-based canonical form of TP functions and quasi-LPV system models. Szeidl et al. proved that the TP model transformation is capable of numerically reconstructing this canonical form.

Related definitions can be found here. Details on the control theoretical background can be found here.

A free MATLAB implementation of the TP model transformation can be downloaded at or at MATLAB Central.

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