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

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

Hardcover

FictionAlgebraGeneral Mathematics

ISBN10: 9814374687
ISBN13: 9789814374682
Publisher: World Scientific Publishing Company
Published: Aug 21 2012
Pages: 612
Weight: 2.15
Height: 1.50 Width: 6.10 Depth: 9.00
Language: English
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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Algebra