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- Tensor_product_model_transformation abstract "In mathematics, the tensor product (TP) model transformation was proposed by Baranyi and Yam for quasi-LPV (qLPV) control theory. It transforms a function (which can be given via closed formulas or neural networks, fuzzy logic, etc.) into TP function form if such a transformation is possible. If an exact transformation is not possible, then the method determines a TP function that is an approximation of the given function. Hence, the TP model transformation can provide a trade-off between approximation accuracy and complexity.A free MATLAB implementation of the TP model transformation can be downloaded at [1] or at MATLAB Central [2]. A key underpinning of the transformation is the higher-order singular value decomposition.Besides being a transformation of functions, the TP model transformation is also a new concept in qLPV based control which plays a central role in the providing a valuable means of bridging between identification and polytopic systems theories. The TP model transformation is uniquely effective in manipulating the convex hull of polytopic forms, and, as a result has revealed and proved the fact that convex hull manipulation is a necessary and crucial step in achieving optimal solutions and decreasing conservativeness in modern LMI based control theory. Thus, although it is a transformation in a mathematical sense, it has established a conceptually new direction in control theory and has laid the ground for further new approaches towards optimality. Further details on the control theoretical aspects of the TP model transformation can be found here: TP model transformation in control theory.The TP model transformation motivated the definition of the "HOSVD canonical form of TP functions", on which further information can be found here. It has been proved that the TP model transformation is capable of numerically reconstructing this HOSVD based canonical form. Thus, the TP model transformation can be viewed as a numerical method to compute the HOSVD of functions, which provides exact results if the given function has a TP function structure and approximative results otherwise.The TP model transformation has recently been extended in order to derive various types of convex TP functions and to manipulate them. This feature has led to new optimization approaches in qLPV system analysis and design, as described here: TP model transformation in control theory.".
- Tensor_product_model_transformation wikiPageExternalLink tptool.sztaki.hu.
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- Tensor_product_model_transformation wikiPageWikiLink Artificial_neural_network.
- Tensor_product_model_transformation wikiPageWikiLink Category:Control_theory.
- Tensor_product_model_transformation wikiPageWikiLink Closed-form_expression.
- Tensor_product_model_transformation wikiPageWikiLink Fuzzy_logic.
- Tensor_product_model_transformation wikiPageWikiLink HOSVD.
- Tensor_product_model_transformation wikiPageWikiLink HOSVD-based_canonical_form_of_TP_functions_and_qLPV_models.
- Tensor_product_model_transformation wikiPageWikiLink HOSVD_based_canonical_form_of_TP_functions_and_qLPV_models.
- Tensor_product_model_transformation wikiPageWikiLink Higher-order_singular_value_decomposition.
- Tensor_product_model_transformation wikiPageWikiLink MATLAB.
- Tensor_product_model_transformation wikiPageWikiLink Neural_network.
- Tensor_product_model_transformation wikiPageWikiLink TP_model_transformation_in_control_theory.
- Tensor_product_model_transformation wikiPageWikiLink Tensor_product.
- Tensor_product_model_transformation wikiPageWikiLinkText "Tensor product model transformation".
- Tensor_product_model_transformation wikiPageWikiLinkText "tensor product model transformation".
- Tensor_product_model_transformation hasPhotoCollection Tensor_product_model_transformation.
- Tensor_product_model_transformation subject Category:Control_theory.
- Tensor_product_model_transformation type Article.
- Tensor_product_model_transformation type Article.
- Tensor_product_model_transformation comment "In mathematics, the tensor product (TP) model transformation was proposed by Baranyi and Yam for quasi-LPV (qLPV) control theory. It transforms a function (which can be given via closed formulas or neural networks, fuzzy logic, etc.) into TP function form if such a transformation is possible. If an exact transformation is not possible, then the method determines a TP function that is an approximation of the given function.".
- Tensor_product_model_transformation label "Tensor product model transformation".
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- Tensor_product_model_transformation sameAs Q7700710.
- Tensor_product_model_transformation sameAs Q7700710.
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