An Introduction to Semi-Tensor Product of Matrices and Its Applications - Couverture rigide

Cheng, Daizhan; Qi, Hongsheng; Zhao, Yin

 
9789814374682: An Introduction to Semi-Tensor Product of Matrices and Its Applications

Synopsis

A generalization of Conventional Matrix Product (CMP), called the Semi-Tensor Product (STP), is proposed. It extends the CMP to two arbitrary matrices and maintains all fundamental properties of CMP. In addition, it has a pseudo-commutative property, which makes it more superior to CMP. The STP was proposed by the authors to deal with higher-dimensional data as well as multilinear mappings. After over a decade of development, STP has been proven to be a powerful tool in dealing with nonlinear and logical calculations.This book is a comprehensive introduction to the theory of STP and its various applications, including logical function, fuzzy control, Boolean networks, analysis and control of nonlinear systems, amongst others.

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Présentation de l'éditeur

A generalization of Conventional Matrix Product (Cmp), called the Semi-Tensor Product (Stp), is proposed. It extends the Cmp to two arbitrary matrices and maintains all fundamental properties of Cmp. In addition, it has a pseudo-commutative property, which makes it more superior to Cmp. The Stp was proposed by the authors to deal with higher-dimensional data as well as multilinear mappings. After over a decade of development, Stp has been proven to be a powerful tool in dealing with nonlinear and logical calculations. This book is a comprehensive introduction to the theory of Stp and its various applications, including logical function, fuzzy control, Boolean networks, analysis and control of nonlinear systems, amongst others.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.