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

Cheng, Daizhan, Qi, Hongsheng, Zhao, Yin

ISBN 10: 9814374687 / ISBN 13: 9789814374682

Published by World Scientific Publishing Company, 2012

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Seller Inventory # ERICA75898143746875

Bibliographic Details

• Title: An Introduction to Semi-Tensor Product of Matrices and Its Applications
• Publisher: World Scientific Publishing Company
• Publication Date: 2012
• Language: English
• ISBN 10: 9814374687
• ISBN 13: 9789814374682
• Binding: Hardcover
• Condition: Like New
• Book Type: book

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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.