Introduction To Semi-tensor Product Of Matrices And Its Applications, An
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Introduction To Semi-tensor Product Of Matrices And Its Applications, An

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Full Title

Introduction To Semi-tensor Product Of Matrices And Its Applications, An
Author(s)

Cheng Daizhan
Edition
ISBN

9789814374699, 9789814374682
Publisher

World Scientific
Format

PDF and EPUB

Description

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.